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Finding the Fourth Proportional to 176,400.96, 264,404.52 and 76,411.32

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Solution

The fourth proportional to 176,400.96, 264,404.52 and 76,411.32 is: 114,531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,400.96 : 264,404.52 = 76,411.32 : x
  2. Step 2: Convert to fraction form
    176,400.96/264,404.52 = 76,411.32/x
  3. Step 3: Cross multiply
    176,400.96x = 264,404.52 × 76,411.32
  4. Step 4: Simplify right side
    176,400.96x = 20,203,498,387.17
  5. Step 5: Solve for x
    x = 20,203,498,387.17/176,400.96
  6. Step 6: Final answer
    x = 114,531.68

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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.