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Finding the Fourth Proportional to 227,902.98, 314,429.13 and 132,331.08

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Solution

The fourth proportional to 227,902.98, 314,429.13 and 132,331.08 is: 182,572.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,902.98 : 314,429.13 = 132,331.08 : x
  2. Step 2: Convert to fraction form
    227,902.98/314,429.13 = 132,331.08/x
  3. Step 3: Cross multiply
    227,902.98x = 314,429.13 × 132,331.08
  4. Step 4: Simplify right side
    227,902.98x = 41,608,746,356.36
  5. Step 5: Solve for x
    x = 41,608,746,356.36/227,902.98
  6. Step 6: Final answer
    x = 182,572.19

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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.