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Finding the Fourth Proportional to 261,840, 361,339.92 and 148,680.48

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Solution

The fourth proportional to 261,840, 361,339.92 and 148,680.48 is: 205,179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,840 : 361,339.92 = 148,680.48 : x
  2. Step 2: Convert to fraction form
    261,840/361,339.92 = 148,680.48/x
  3. Step 3: Cross multiply
    261,840x = 361,339.92 × 148,680.48
  4. Step 4: Simplify right side
    261,840x = 53,724,192,748.76
  5. Step 5: Solve for x
    x = 53,724,192,748.76/261,840
  6. Step 6: Final answer
    x = 205,179.47

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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.