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Finding the Fourth Proportional to 148,754.64, 205,230.11 and 95,071.08

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Solution

The fourth proportional to 148,754.64, 205,230.11 and 95,071.08 is: 131,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,754.64 : 205,230.11 = 95,071.08 : x
  2. Step 2: Convert to fraction form
    148,754.64/205,230.11 = 95,071.08/x
  3. Step 3: Cross multiply
    148,754.64x = 205,230.11 × 95,071.08
  4. Step 4: Simplify right side
    148,754.64x = 19,511,448,500.48
  5. Step 5: Solve for x
    x = 19,511,448,500.48/148,754.64
  6. Step 6: Final answer
    x = 131,165.31

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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.