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Finding the Fourth Proportional to 135,872.32, 203,730 and 52,669.12

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Solution

The fourth proportional to 135,872.32, 203,730 and 52,669.12 is: 78,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,872.32 : 203,730 = 52,669.12 : x
  2. Step 2: Convert to fraction form
    135,872.32/203,730 = 52,669.12/x
  3. Step 3: Cross multiply
    135,872.32x = 203,730 × 52,669.12
  4. Step 4: Simplify right side
    135,872.32x = 10,730,279,817.60
  5. Step 5: Solve for x
    x = 10,730,279,817.60/135,872.32
  6. Step 6: Final answer
    x = 78,973.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.