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Finding the Fourth Proportional to 235,170.97, 324,411.55 and 148,977.90

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Solution

The fourth proportional to 235,170.97, 324,411.55 and 148,977.90 is: 205,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,170.97 : 324,411.55 = 148,977.90 : x
  2. Step 2: Convert to fraction form
    235,170.97/324,411.55 = 148,977.90/x
  3. Step 3: Cross multiply
    235,170.97x = 324,411.55 × 148,977.90
  4. Step 4: Simplify right side
    235,170.97x = 48,330,151,082.30
  5. Step 5: Solve for x
    x = 48,330,151,082.30/235,170.97
  6. Step 6: Final answer
    x = 205,510.70

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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.