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Finding the Fourth Proportional to 149,408.20, 224,151.90 and 65,132.20

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Solution

The fourth proportional to 149,408.20, 224,151.90 and 65,132.20 is: 97,715.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,408.20 : 224,151.90 = 65,132.20 : x
  2. Step 2: Convert to fraction form
    149,408.20/224,151.90 = 65,132.20/x
  3. Step 3: Cross multiply
    149,408.20x = 224,151.90 × 65,132.20
  4. Step 4: Simplify right side
    149,408.20x = 14,599,506,381.18
  5. Step 5: Solve for x
    x = 14,599,506,381.18/149,408.20
  6. Step 6: Final answer
    x = 97,715.56

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1.5x scale

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.