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Finding the Fourth Proportional to 157,417.38, 217,240.56 and 85,802.04

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Solution

The fourth proportional to 157,417.38, 217,240.56 and 85,802.04 is: 118,409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,417.38 : 217,240.56 = 85,802.04 : x
  2. Step 2: Convert to fraction form
    157,417.38/217,240.56 = 85,802.04/x
  3. Step 3: Cross multiply
    157,417.38x = 217,240.56 × 85,802.04
  4. Step 4: Simplify right side
    157,417.38x = 18,639,683,218.74
  5. Step 5: Solve for x
    x = 18,639,683,218.74/157,417.38
  6. Step 6: Final answer
    x = 118,409.31

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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.