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Finding the Fourth Proportional to 157,188.84, 216,920.60 and 85,569.38

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Solution

The fourth proportional to 157,188.84, 216,920.60 and 85,569.38 is: 118,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,188.84 : 216,920.60 = 85,569.38 : x
  2. Step 2: Convert to fraction form
    157,188.84/216,920.60 = 85,569.38/x
  3. Step 3: Cross multiply
    157,188.84x = 216,920.60 × 85,569.38
  4. Step 4: Simplify right side
    157,188.84x = 18,561,761,251.23
  5. Step 5: Solve for x
    x = 18,561,761,251.23/157,188.84
  6. Step 6: Final answer
    x = 118,085.74

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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.