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Finding the Fourth Proportional to 270,624.16, 373,462.05 and 149,773.78

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Solution

The fourth proportional to 270,624.16, 373,462.05 and 149,773.78 is: 206,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,624.16 : 373,462.05 = 149,773.78 : x
  2. Step 2: Convert to fraction form
    270,624.16/373,462.05 = 149,773.78/x
  3. Step 3: Cross multiply
    270,624.16x = 373,462.05 × 149,773.78
  4. Step 4: Simplify right side
    270,624.16x = 55,934,822,915.05
  5. Step 5: Solve for x
    x = 55,934,822,915.05/270,624.16
  6. Step 6: Final answer
    x = 206,688.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.