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Finding the Fourth Proportional to 149,742.59, 224,598.50 and 49,892

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Solution

The fourth proportional to 149,742.59, 224,598.50 and 49,892 is: 74,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,742.59 : 224,598.50 = 49,892 : x
  2. Step 2: Convert to fraction form
    149,742.59/224,598.50 = 49,892/x
  3. Step 3: Cross multiply
    149,742.59x = 224,598.50 × 49,892
  4. Step 4: Simplify right side
    149,742.59x = 11,205,668,112.54
  5. Step 5: Solve for x
    x = 11,205,668,112.54/149,742.59
  6. Step 6: Final answer
    x = 74,832.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.