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Finding the Fourth Proportional to 252,110.76, 347,920.14 and 138,940.80

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Solution

The fourth proportional to 252,110.76, 347,920.14 and 138,940.80 is: 191,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,110.76 : 347,920.14 = 138,940.80 : x
  2. Step 2: Convert to fraction form
    252,110.76/347,920.14 = 138,940.80/x
  3. Step 3: Cross multiply
    252,110.76x = 347,920.14 × 138,940.80
  4. Step 4: Simplify right side
    252,110.76x = 48,340,302,587.71
  5. Step 5: Solve for x
    x = 48,340,302,587.71/252,110.76
  6. Step 6: Final answer
    x = 191,742.32

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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.