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Finding the Fourth Proportional to 176,291.68, 264,456.32 and 56,306.72

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Solution

The fourth proportional to 176,291.68, 264,456.32 and 56,306.72 is: 84,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,291.68 : 264,456.32 = 56,306.72 : x
  2. Step 2: Convert to fraction form
    176,291.68/264,456.32 = 56,306.72/x
  3. Step 3: Cross multiply
    176,291.68x = 264,456.32 × 56,306.72
  4. Step 4: Simplify right side
    176,291.68x = 14,890,667,962.47
  5. Step 5: Solve for x
    x = 14,890,667,962.47/176,291.68
  6. Step 6: Final answer
    x = 84,466.08

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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.