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Finding the Fourth Proportional to 176,732.80, 264,926.40 and 71,411.20

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Solution

The fourth proportional to 176,732.80, 264,926.40 and 71,411.20 is: 107,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,732.80 : 264,926.40 = 71,411.20 : x
  2. Step 2: Convert to fraction form
    176,732.80/264,926.40 = 71,411.20/x
  3. Step 3: Cross multiply
    176,732.80x = 264,926.40 × 71,411.20
  4. Step 4: Simplify right side
    176,732.80x = 18,918,712,135.68
  5. Step 5: Solve for x
    x = 18,918,712,135.68/176,732.80
  6. Step 6: Final answer
    x = 107,046.98

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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.