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Finding the Fourth Proportional to 135,123.50, 202,685.25 and 36,627.50

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Solution

The fourth proportional to 135,123.50, 202,685.25 and 36,627.50 is: 54,941.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,123.50 : 202,685.25 = 36,627.50 : x
  2. Step 2: Convert to fraction form
    135,123.50/202,685.25 = 36,627.50/x
  3. Step 3: Cross multiply
    135,123.50x = 202,685.25 × 36,627.50
  4. Step 4: Simplify right side
    135,123.50x = 7,423,853,994.38
  5. Step 5: Solve for x
    x = 7,423,853,994.38/135,123.50
  6. Step 6: Final answer
    x = 54,941.25

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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.