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Finding the Fourth Proportional to 157,134.21, 216,850.13 and 89,154.05

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Solution

The fourth proportional to 157,134.21, 216,850.13 and 89,154.05 is: 123,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,134.21 : 216,850.13 = 89,154.05 : x
  2. Step 2: Convert to fraction form
    157,134.21/216,850.13 = 89,154.05/x
  3. Step 3: Cross multiply
    157,134.21x = 216,850.13 × 89,154.05
  4. Step 4: Simplify right side
    157,134.21x = 19,333,067,332.53
  5. Step 5: Solve for x
    x = 19,333,067,332.53/157,134.21
  6. Step 6: Final answer
    x = 123,035.38

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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.