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Finding the Fourth Proportional to 342,037.50, 472,011.75 and 191,134.50

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Solution

The fourth proportional to 342,037.50, 472,011.75 and 191,134.50 is: 263,765.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,037.50 : 472,011.75 = 191,134.50 : x
  2. Step 2: Convert to fraction form
    342,037.50/472,011.75 = 191,134.50/x
  3. Step 3: Cross multiply
    342,037.50x = 472,011.75 × 191,134.50
  4. Step 4: Simplify right side
    342,037.50x = 90,217,729,830.38
  5. Step 5: Solve for x
    x = 90,217,729,830.38/342,037.50
  6. Step 6: Final answer
    x = 263,765.61

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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.