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Finding the Fourth Proportional to 123,423.81, 185,097.43 and 44,527.78

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Solution

The fourth proportional to 123,423.81, 185,097.43 and 44,527.78 is: 66,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,423.81 : 185,097.43 = 44,527.78 : x
  2. Step 2: Convert to fraction form
    123,423.81/185,097.43 = 44,527.78/x
  3. Step 3: Cross multiply
    123,423.81x = 185,097.43 × 44,527.78
  4. Step 4: Simplify right side
    123,423.81x = 8,241,977,641.61
  5. Step 5: Solve for x
    x = 8,241,977,641.61/123,423.81
  6. Step 6: Final answer
    x = 66,777.86

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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.