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Finding the Fourth Proportional to 149,388.80, 224,124.84 and 65,156.48

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Solution

The fourth proportional to 149,388.80, 224,124.84 and 65,156.48 is: 97,752.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,388.80 : 224,124.84 = 65,156.48 : x
  2. Step 2: Convert to fraction form
    149,388.80/224,124.84 = 65,156.48/x
  3. Step 3: Cross multiply
    149,388.80x = 224,124.84 × 65,156.48
  4. Step 4: Simplify right side
    149,388.80x = 14,603,185,654.96
  5. Step 5: Solve for x
    x = 14,603,185,654.96/149,388.80
  6. Step 6: Final answer
    x = 97,752.88

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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.