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Finding the Fourth Proportional to 117,866, 176,562.48 and 58,522.16

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Solution

The fourth proportional to 117,866, 176,562.48 and 58,522.16 is: 87,665.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,866 : 176,562.48 = 58,522.16 : x
  2. Step 2: Convert to fraction form
    117,866/176,562.48 = 58,522.16/x
  3. Step 3: Cross multiply
    117,866x = 176,562.48 × 58,522.16
  4. Step 4: Simplify right side
    117,866x = 10,332,817,704.56
  5. Step 5: Solve for x
    x = 10,332,817,704.56/117,866
  6. Step 6: Final answer
    x = 87,665.80

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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.