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Finding the Fourth Proportional to 149,832.10, 224,748.15 and 61,039.90

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Solution

The fourth proportional to 149,832.10, 224,748.15 and 61,039.90 is: 91,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,832.10 : 224,748.15 = 61,039.90 : x
  2. Step 2: Convert to fraction form
    149,832.10/224,748.15 = 61,039.90/x
  3. Step 3: Cross multiply
    149,832.10x = 224,748.15 × 61,039.90
  4. Step 4: Simplify right side
    149,832.10x = 13,718,604,601.19
  5. Step 5: Solve for x
    x = 13,718,604,601.19/149,832.10
  6. Step 6: Final answer
    x = 91,559.85

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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.