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Finding the Fourth Proportional to 180,755.54, 249,438.79 and 100,182.34

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Solution

The fourth proportional to 180,755.54, 249,438.79 and 100,182.34 is: 138,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,755.54 : 249,438.79 = 100,182.34 : x
  2. Step 2: Convert to fraction form
    180,755.54/249,438.79 = 100,182.34/x
  3. Step 3: Cross multiply
    180,755.54x = 249,438.79 × 100,182.34
  4. Step 4: Simplify right side
    180,755.54x = 24,989,361,668.97
  5. Step 5: Solve for x
    x = 24,989,361,668.97/180,755.54
  6. Step 6: Final answer
    x = 138,249.49

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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.