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Finding the Fourth Proportional to 176,658.14, 264,982.23 and 56,714.15

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Solution

The fourth proportional to 176,658.14, 264,982.23 and 56,714.15 is: 85,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,658.14 : 264,982.23 = 56,714.15 : x
  2. Step 2: Convert to fraction form
    176,658.14/264,982.23 = 56,714.15/x
  3. Step 3: Cross multiply
    176,658.14x = 264,982.23 × 56,714.15
  4. Step 4: Simplify right side
    176,658.14x = 15,028,240,614.64
  5. Step 5: Solve for x
    x = 15,028,240,614.64/176,658.14
  6. Step 6: Final answer
    x = 85,069.62

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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.