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Finding the Fourth Proportional to 110,309.38, 152,214.54 and 64,984.42

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Solution

The fourth proportional to 110,309.38, 152,214.54 and 64,984.42 is: 89,671.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,309.38 : 152,214.54 = 64,984.42 : x
  2. Step 2: Convert to fraction form
    110,309.38/152,214.54 = 64,984.42/x
  3. Step 3: Cross multiply
    110,309.38x = 152,214.54 × 64,984.42
  4. Step 4: Simplify right side
    110,309.38x = 9,891,573,597.47
  5. Step 5: Solve for x
    x = 9,891,573,597.47/110,309.38
  6. Step 6: Final answer
    x = 89,671.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.