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Finding the Fourth Proportional to 235,170.42, 324,410.78 and 148,977.33

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Solution

The fourth proportional to 235,170.42, 324,410.78 and 148,977.33 is: 205,509.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,170.42 : 324,410.78 = 148,977.33 : x
  2. Step 2: Convert to fraction form
    235,170.42/324,410.78 = 148,977.33/x
  3. Step 3: Cross multiply
    235,170.42x = 324,410.78 × 148,977.33
  4. Step 4: Simplify right side
    235,170.42x = 48,329,851,082.73
  5. Step 5: Solve for x
    x = 48,329,851,082.73/235,170.42
  6. Step 6: Final answer
    x = 205,509.91

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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.