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Finding the Fourth Proportional to 176,498.18, 264,640.43 and 71,194.13

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Solution

The fourth proportional to 176,498.18, 264,640.43 and 71,194.13 is: 106,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,498.18 : 264,640.43 = 71,194.13 : x
  2. Step 2: Convert to fraction form
    176,498.18/264,640.43 = 71,194.13/x
  3. Step 3: Cross multiply
    176,498.18x = 264,640.43 × 71,194.13
  4. Step 4: Simplify right side
    176,498.18x = 18,840,843,497.50
  5. Step 5: Solve for x
    x = 18,840,843,497.50/176,498.18
  6. Step 6: Final answer
    x = 106,748.09

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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.