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Finding the Fourth Proportional to 149,499.86, 224,354.88 and 135,207.02

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Solution

The fourth proportional to 149,499.86, 224,354.88 and 135,207.02 is: 202,905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,499.86 : 224,354.88 = 135,207.02 : x
  2. Step 2: Convert to fraction form
    149,499.86/224,354.88 = 135,207.02/x
  3. Step 3: Cross multiply
    149,499.86x = 224,354.88 × 135,207.02
  4. Step 4: Simplify right side
    149,499.86x = 30,334,354,747.26
  5. Step 5: Solve for x
    x = 30,334,354,747.26/149,499.86
  6. Step 6: Final answer
    x = 202,905.57

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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.