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Finding the Fourth Proportional to 118,064.17, 177,120.96 and 65,363.14

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Solution

The fourth proportional to 118,064.17, 177,120.96 and 65,363.14 is: 98,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,064.17 : 177,120.96 = 65,363.14 : x
  2. Step 2: Convert to fraction form
    118,064.17/177,120.96 = 65,363.14/x
  3. Step 3: Cross multiply
    118,064.17x = 177,120.96 × 65,363.14
  4. Step 4: Simplify right side
    118,064.17x = 11,577,182,105.41
  5. Step 5: Solve for x
    x = 11,577,182,105.41/118,064.17
  6. Step 6: Final answer
    x = 98,058.39

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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.