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Finding the Fourth Proportional to 261,085.48, 360,315.78 and 147,909.16

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Solution

The fourth proportional to 261,085.48, 360,315.78 and 147,909.16 is: 204,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,085.48 : 360,315.78 = 147,909.16 : x
  2. Step 2: Convert to fraction form
    261,085.48/360,315.78 = 147,909.16/x
  3. Step 3: Cross multiply
    261,085.48x = 360,315.78 × 147,909.16
  4. Step 4: Simplify right side
    261,085.48x = 53,294,004,354.54
  5. Step 5: Solve for x
    x = 53,294,004,354.54/261,085.48
  6. Step 6: Final answer
    x = 204,124.73

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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.