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Finding the Fourth Proportional to 147,472.96, 221,011.84 and 138,025.28

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Solution

The fourth proportional to 147,472.96, 221,011.84 and 138,025.28 is: 206,852.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,472.96 : 221,011.84 = 138,025.28 : x
  2. Step 2: Convert to fraction form
    147,472.96/221,011.84 = 138,025.28/x
  3. Step 3: Cross multiply
    147,472.96x = 221,011.84 × 138,025.28
  4. Step 4: Simplify right side
    147,472.96x = 30,505,221,099.32
  5. Step 5: Solve for x
    x = 30,505,221,099.32/147,472.96
  6. Step 6: Final answer
    x = 206,852.98

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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.