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Finding the Fourth Proportional to 176,466, 264,550.16 and 76,550.95

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Solution

The fourth proportional to 176,466, 264,550.16 and 76,550.95 is: 114,761.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,466 : 264,550.16 = 76,550.95 : x
  2. Step 2: Convert to fraction form
    176,466/264,550.16 = 76,550.95/x
  3. Step 3: Cross multiply
    176,466x = 264,550.16 × 76,550.95
  4. Step 4: Simplify right side
    176,466x = 20,251,565,600.65
  5. Step 5: Solve for x
    x = 20,251,565,600.65/176,466
  6. Step 6: Final answer
    x = 114,761.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.