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Finding the Fourth Proportional to 106,298.50, 146,691.93 and 58,551.70

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Solution

The fourth proportional to 106,298.50, 146,691.93 and 58,551.70 is: 80,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,298.50 : 146,691.93 = 58,551.70 : x
  2. Step 2: Convert to fraction form
    106,298.50/146,691.93 = 58,551.70/x
  3. Step 3: Cross multiply
    106,298.50x = 146,691.93 × 58,551.70
  4. Step 4: Simplify right side
    106,298.50x = 8,589,061,877.78
  5. Step 5: Solve for x
    x = 8,589,061,877.78/106,298.50
  6. Step 6: Final answer
    x = 80,801.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.