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Finding the Fourth Proportional to 148,644, 205,128.72 and 81,580.32

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Solution

The fourth proportional to 148,644, 205,128.72 and 81,580.32 is: 112,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,644 : 205,128.72 = 81,580.32 : x
  2. Step 2: Convert to fraction form
    148,644/205,128.72 = 81,580.32/x
  3. Step 3: Cross multiply
    148,644x = 205,128.72 × 81,580.32
  4. Step 4: Simplify right side
    148,644x = 16,734,466,618.79
  5. Step 5: Solve for x
    x = 16,734,466,618.79/148,644
  6. Step 6: Final answer
    x = 112,580.84

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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.