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Finding the Fourth Proportional to 149,993.90, 224,731.65 and 126,665.90

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Solution

The fourth proportional to 149,993.90, 224,731.65 and 126,665.90 is: 189,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,993.90 : 224,731.65 = 126,665.90 : x
  2. Step 2: Convert to fraction form
    149,993.90/224,731.65 = 126,665.90/x
  3. Step 3: Cross multiply
    149,993.90x = 224,731.65 × 126,665.90
  4. Step 4: Simplify right side
    149,993.90x = 28,465,836,705.74
  5. Step 5: Solve for x
    x = 28,465,836,705.74/149,993.90
  6. Step 6: Final answer
    x = 189,779.96

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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.