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Finding the Fourth Proportional to 145,213.60, 217,528.80 and 82,811.20

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Solution

The fourth proportional to 145,213.60, 217,528.80 and 82,811.20 is: 124,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,213.60 : 217,528.80 = 82,811.20 : x
  2. Step 2: Convert to fraction form
    145,213.60/217,528.80 = 82,811.20/x
  3. Step 3: Cross multiply
    145,213.60x = 217,528.80 × 82,811.20
  4. Step 4: Simplify right side
    145,213.60x = 18,013,820,962.56
  5. Step 5: Solve for x
    x = 18,013,820,962.56/145,213.60
  6. Step 6: Final answer
    x = 124,050.51

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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.