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Finding the Fourth Proportional to 147,225.28, 220,841.55 and 53,731

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Solution

The fourth proportional to 147,225.28, 220,841.55 and 53,731 is: 80,597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,225.28 : 220,841.55 = 53,731 : x
  2. Step 2: Convert to fraction form
    147,225.28/220,841.55 = 53,731/x
  3. Step 3: Cross multiply
    147,225.28x = 220,841.55 × 53,731
  4. Step 4: Simplify right side
    147,225.28x = 11,866,037,323.05
  5. Step 5: Solve for x
    x = 11,866,037,323.05/147,225.28
  6. Step 6: Final answer
    x = 80,597.82

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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.