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Finding the Fourth Proportional to 149,343.30, 223,869.15 and 133,596.90

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Solution

The fourth proportional to 149,343.30, 223,869.15 and 133,596.90 is: 200,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,343.30 : 223,869.15 = 133,596.90 : x
  2. Step 2: Convert to fraction form
    149,343.30/223,869.15 = 133,596.90/x
  3. Step 3: Cross multiply
    149,343.30x = 223,869.15 × 133,596.90
  4. Step 4: Simplify right side
    149,343.30x = 29,908,224,445.64
  5. Step 5: Solve for x
    x = 29,908,224,445.64/149,343.30
  6. Step 6: Final answer
    x = 200,264.92

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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.