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Finding the Fourth Proportional to 149,543.10, 224,314.65 and 149,543.10

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Solution

The fourth proportional to 149,543.10, 224,314.65 and 149,543.10 is: 224,314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,543.10 : 224,314.65 = 149,543.10 : x
  2. Step 2: Convert to fraction form
    149,543.10/224,314.65 = 149,543.10/x
  3. Step 3: Cross multiply
    149,543.10x = 224,314.65 × 149,543.10
  4. Step 4: Simplify right side
    149,543.10x = 33,544,708,136.42
  5. Step 5: Solve for x
    x = 33,544,708,136.42/149,543.10
  6. Step 6: Final answer
    x = 224,314.65

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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.