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Finding the Fourth Proportional to 185,032.14, 255,349 and 113,451.62

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Solution

The fourth proportional to 185,032.14, 255,349 and 113,451.62 is: 156,566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,032.14 : 255,349 = 113,451.62 : x
  2. Step 2: Convert to fraction form
    185,032.14/255,349 = 113,451.62/x
  3. Step 3: Cross multiply
    185,032.14x = 255,349 × 113,451.62
  4. Step 4: Simplify right side
    185,032.14x = 28,969,757,715.38
  5. Step 5: Solve for x
    x = 28,969,757,715.38/185,032.14
  6. Step 6: Final answer
    x = 156,566.08

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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.