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Finding the Fourth Proportional to 261,851.40, 392,777.10 and 74,838.60

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Solution

The fourth proportional to 261,851.40, 392,777.10 and 74,838.60 is: 112,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,851.40 : 392,777.10 = 74,838.60 : x
  2. Step 2: Convert to fraction form
    261,851.40/392,777.10 = 74,838.60/x
  3. Step 3: Cross multiply
    261,851.40x = 392,777.10 × 74,838.60
  4. Step 4: Simplify right side
    261,851.40x = 29,394,888,276.06
  5. Step 5: Solve for x
    x = 29,394,888,276.06/261,851.40
  6. Step 6: Final answer
    x = 112,257.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.