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Finding the Fourth Proportional to 151,902.40, 227,864.40 and 46,721.20

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Solution

The fourth proportional to 151,902.40, 227,864.40 and 46,721.20 is: 70,085.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,902.40 : 227,864.40 = 46,721.20 : x
  2. Step 2: Convert to fraction form
    151,902.40/227,864.40 = 46,721.20/x
  3. Step 3: Cross multiply
    151,902.40x = 227,864.40 × 46,721.20
  4. Step 4: Simplify right side
    151,902.40x = 10,646,098,205.28
  5. Step 5: Solve for x
    x = 10,646,098,205.28/151,902.40
  6. Step 6: Final answer
    x = 70,085.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.