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Finding the Fourth Proportional to 157,006.53, 216,670.66 and 85,386.53

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Solution

The fourth proportional to 157,006.53, 216,670.66 and 85,386.53 is: 117,834.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,006.53 : 216,670.66 = 85,386.53 : x
  2. Step 2: Convert to fraction form
    157,006.53/216,670.66 = 85,386.53/x
  3. Step 3: Cross multiply
    157,006.53x = 216,670.66 × 85,386.53
  4. Step 4: Simplify right side
    157,006.53x = 18,500,754,726.86
  5. Step 5: Solve for x
    x = 18,500,754,726.86/157,006.53
  6. Step 6: Final answer
    x = 117,834.30

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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.