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Finding the Fourth Proportional to 261,447.68, 360,835.20 and 146,738.56

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Solution

The fourth proportional to 261,447.68, 360,835.20 and 146,738.56 is: 202,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,447.68 : 360,835.20 = 146,738.56 : x
  2. Step 2: Convert to fraction form
    261,447.68/360,835.20 = 146,738.56/x
  3. Step 3: Cross multiply
    261,447.68x = 360,835.20 × 146,738.56
  4. Step 4: Simplify right side
    261,447.68x = 52,948,437,645.31
  5. Step 5: Solve for x
    x = 52,948,437,645.31/261,447.68
  6. Step 6: Final answer
    x = 202,520.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.