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Finding the Fourth Proportional to 148,753.32, 205,138.84 and 97,675.93

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Solution

The fourth proportional to 148,753.32, 205,138.84 and 97,675.93 is: 134,700.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,753.32 : 205,138.84 = 97,675.93 : x
  2. Step 2: Convert to fraction form
    148,753.32/205,138.84 = 97,675.93/x
  3. Step 3: Cross multiply
    148,753.32x = 205,138.84 × 97,675.93
  4. Step 4: Simplify right side
    148,753.32x = 20,037,126,976.12
  5. Step 5: Solve for x
    x = 20,037,126,976.12/148,753.32
  6. Step 6: Final answer
    x = 134,700.37

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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.