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Finding the Fourth Proportional to 178,458.63, 267,331.05 and 107,342

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Solution

The fourth proportional to 178,458.63, 267,331.05 and 107,342 is: 160,798.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,458.63 : 267,331.05 = 107,342 : x
  2. Step 2: Convert to fraction form
    178,458.63/267,331.05 = 107,342/x
  3. Step 3: Cross multiply
    178,458.63x = 267,331.05 × 107,342
  4. Step 4: Simplify right side
    178,458.63x = 28,695,849,569.10
  5. Step 5: Solve for x
    x = 28,695,849,569.10/178,458.63
  6. Step 6: Final answer
    x = 160,798.33

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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.