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Finding the Fourth Proportional to 149,854.30, 224,749.05 and 65,614.30

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Solution

The fourth proportional to 149,854.30, 224,749.05 and 65,614.30 is: 98,407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,854.30 : 224,749.05 = 65,614.30 : x
  2. Step 2: Convert to fraction form
    149,854.30/224,749.05 = 65,614.30/x
  3. Step 3: Cross multiply
    149,854.30x = 224,749.05 × 65,614.30
  4. Step 4: Simplify right side
    149,854.30x = 14,746,751,591.42
  5. Step 5: Solve for x
    x = 14,746,751,591.42/149,854.30
  6. Step 6: Final answer
    x = 98,407.26

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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.