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Finding the Fourth Proportional to 157,842.83, 217,380.28 and 147,712.01

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Solution

The fourth proportional to 157,842.83, 217,380.28 and 147,712.01 is: 203,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,842.83 : 217,380.28 = 147,712.01 : x
  2. Step 2: Convert to fraction form
    157,842.83/217,380.28 = 147,712.01/x
  3. Step 3: Cross multiply
    157,842.83x = 217,380.28 × 147,712.01
  4. Step 4: Simplify right side
    157,842.83x = 32,109,677,329.38
  5. Step 5: Solve for x
    x = 32,109,677,329.38/157,842.83
  6. Step 6: Final answer
    x = 203,428.17

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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.