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Finding the Fourth Proportional to 136,952.70, 205,429.05 and 48,306.30

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Solution

The fourth proportional to 136,952.70, 205,429.05 and 48,306.30 is: 72,459.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,952.70 : 205,429.05 = 48,306.30 : x
  2. Step 2: Convert to fraction form
    136,952.70/205,429.05 = 48,306.30/x
  3. Step 3: Cross multiply
    136,952.70x = 205,429.05 × 48,306.30
  4. Step 4: Simplify right side
    136,952.70x = 9,923,517,318.02
  5. Step 5: Solve for x
    x = 9,923,517,318.02/136,952.70
  6. Step 6: Final answer
    x = 72,459.45

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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.