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Finding the Fourth Proportional to 252,006.39, 347,290.32 and 180,261.85

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Solution

The fourth proportional to 252,006.39, 347,290.32 and 180,261.85 is: 248,419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,006.39 : 347,290.32 = 180,261.85 : x
  2. Step 2: Convert to fraction form
    252,006.39/347,290.32 = 180,261.85/x
  3. Step 3: Cross multiply
    252,006.39x = 347,290.32 × 180,261.85
  4. Step 4: Simplify right side
    252,006.39x = 62,603,195,570.29
  5. Step 5: Solve for x
    x = 62,603,195,570.29/252,006.39
  6. Step 6: Final answer
    x = 248,419.08

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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.