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Finding the Fourth Proportional to 157,160.53, 216,886.21 and 96,766.01

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Solution

The fourth proportional to 157,160.53, 216,886.21 and 96,766.01 is: 133,539.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,160.53 : 216,886.21 = 96,766.01 : x
  2. Step 2: Convert to fraction form
    157,160.53/216,886.21 = 96,766.01/x
  3. Step 3: Cross multiply
    157,160.53x = 216,886.21 × 96,766.01
  4. Step 4: Simplify right side
    157,160.53x = 20,987,211,839.38
  5. Step 5: Solve for x
    x = 20,987,211,839.38/157,160.53
  6. Step 6: Final answer
    x = 133,539.97

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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.