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Finding the Fourth Proportional to 149,614.88, 224,264.16 and 65,301.12

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Solution

The fourth proportional to 149,614.88, 224,264.16 and 65,301.12 is: 97,882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,614.88 : 224,264.16 = 65,301.12 : x
  2. Step 2: Convert to fraction form
    149,614.88/224,264.16 = 65,301.12/x
  3. Step 3: Cross multiply
    149,614.88x = 224,264.16 × 65,301.12
  4. Step 4: Simplify right side
    149,614.88x = 14,644,700,823.86
  5. Step 5: Solve for x
    x = 14,644,700,823.86/149,614.88
  6. Step 6: Final answer
    x = 97,882.65

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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.