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Finding the Fourth Proportional to 149,840.55, 224,680.86 and 65,502

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Solution

The fourth proportional to 149,840.55, 224,680.86 and 65,502 is: 98,218.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,840.55 : 224,680.86 = 65,502 : x
  2. Step 2: Convert to fraction form
    149,840.55/224,680.86 = 65,502/x
  3. Step 3: Cross multiply
    149,840.55x = 224,680.86 × 65,502
  4. Step 4: Simplify right side
    149,840.55x = 14,717,045,691.72
  5. Step 5: Solve for x
    x = 14,717,045,691.72/149,840.55
  6. Step 6: Final answer
    x = 98,218.04

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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.