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Finding the Fourth Proportional to 148,548, 204,996.24 and 81,478.56

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Solution

The fourth proportional to 148,548, 204,996.24 and 81,478.56 is: 112,440.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,548 : 204,996.24 = 81,478.56 : x
  2. Step 2: Convert to fraction form
    148,548/204,996.24 = 81,478.56/x
  3. Step 3: Cross multiply
    148,548x = 204,996.24 × 81,478.56
  4. Step 4: Simplify right side
    148,548x = 16,702,798,440.61
  5. Step 5: Solve for x
    x = 16,702,798,440.61/148,548
  6. Step 6: Final answer
    x = 112,440.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.