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Finding the Fourth Proportional to 180,740.71, 270,851.34 and 101,687.95

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Solution

The fourth proportional to 180,740.71, 270,851.34 and 101,687.95 is: 152,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,740.71 : 270,851.34 = 101,687.95 : x
  2. Step 2: Convert to fraction form
    180,740.71/270,851.34 = 101,687.95/x
  3. Step 3: Cross multiply
    180,740.71x = 270,851.34 × 101,687.95
  4. Step 4: Simplify right side
    180,740.71x = 27,542,316,842.22
  5. Step 5: Solve for x
    x = 27,542,316,842.22/180,740.71
  6. Step 6: Final answer
    x = 152,385.80

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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.