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Finding the Fourth Proportional to 204,411.38, 282,095.80 and 113,771.16

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Solution

The fourth proportional to 204,411.38, 282,095.80 and 113,771.16 is: 157,008.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,411.38 : 282,095.80 = 113,771.16 : x
  2. Step 2: Convert to fraction form
    204,411.38/282,095.80 = 113,771.16/x
  3. Step 3: Cross multiply
    204,411.38x = 282,095.80 × 113,771.16
  4. Step 4: Simplify right side
    204,411.38x = 32,094,366,397.13
  5. Step 5: Solve for x
    x = 32,094,366,397.13/204,411.38
  6. Step 6: Final answer
    x = 157,008.71

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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.