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Finding the Fourth Proportional to 117,537.60, 176,306.40 and 70,766.40

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Solution

The fourth proportional to 117,537.60, 176,306.40 and 70,766.40 is: 106,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,537.60 : 176,306.40 = 70,766.40 : x
  2. Step 2: Convert to fraction form
    117,537.60/176,306.40 = 70,766.40/x
  3. Step 3: Cross multiply
    117,537.60x = 176,306.40 × 70,766.40
  4. Step 4: Simplify right side
    117,537.60x = 12,476,569,224.96
  5. Step 5: Solve for x
    x = 12,476,569,224.96/117,537.60
  6. Step 6: Final answer
    x = 106,149.60

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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.