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Finding the Fourth Proportional to 148,223.60, 204,410.36 and 137,214.78

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Solution

The fourth proportional to 148,223.60, 204,410.36 and 137,214.78 is: 189,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,223.60 : 204,410.36 = 137,214.78 : x
  2. Step 2: Convert to fraction form
    148,223.60/204,410.36 = 137,214.78/x
  3. Step 3: Cross multiply
    148,223.60x = 204,410.36 × 137,214.78
  4. Step 4: Simplify right side
    148,223.60x = 28,048,122,577.12
  5. Step 5: Solve for x
    x = 28,048,122,577.12/148,223.60
  6. Step 6: Final answer
    x = 189,228.45

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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.