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Finding the Fourth Proportional to 100,973.80, 151,460.70 and 51,207.40

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Solution

The fourth proportional to 100,973.80, 151,460.70 and 51,207.40 is: 76,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,973.80 : 151,460.70 = 51,207.40 : x
  2. Step 2: Convert to fraction form
    100,973.80/151,460.70 = 51,207.40/x
  3. Step 3: Cross multiply
    100,973.80x = 151,460.70 × 51,207.40
  4. Step 4: Simplify right side
    100,973.80x = 7,755,908,649.18
  5. Step 5: Solve for x
    x = 7,755,908,649.18/100,973.80
  6. Step 6: Final answer
    x = 76,811.10

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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.