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Finding the Fourth Proportional to 96,551,978.40, 144,995,929.20 and 51,202,346.40

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Solution

The fourth proportional to 96,551,978.40, 144,995,929.20 and 51,202,346.40 is: 76,892,591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,551,978.40 : 144,995,929.20 = 51,202,346.40 : x
  2. Step 2: Convert to fraction form
    96,551,978.40/144,995,929.20 = 51,202,346.40/x
  3. Step 3: Cross multiply
    96,551,978.40x = 144,995,929.20 × 51,202,346.40
  4. Step 4: Simplify right side
    96,551,978.40x = 7,424,131,793,488,274
  5. Step 5: Solve for x
    x = 7,424,131,793,488,274/96,551,978.40
  6. Step 6: Final answer
    x = 76,892,591.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.