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Finding the Fourth Proportional to 148,878.18, 223,329.56 and 47,691

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Solution

The fourth proportional to 148,878.18, 223,329.56 and 47,691 is: 71,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,878.18 : 223,329.56 = 47,691 : x
  2. Step 2: Convert to fraction form
    148,878.18/223,329.56 = 47,691/x
  3. Step 3: Cross multiply
    148,878.18x = 223,329.56 × 47,691
  4. Step 4: Simplify right side
    148,878.18x = 10,650,809,807.51
  5. Step 5: Solve for x
    x = 10,650,809,807.51/148,878.18
  6. Step 6: Final answer
    x = 71,540.44

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