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Finding the Fourth Proportional to 219,932.20, 329,606.70 and 194,854.60

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Solution

The fourth proportional to 219,932.20, 329,606.70 and 194,854.60 is: 292,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,932.20 : 329,606.70 = 194,854.60 : x
  2. Step 2: Convert to fraction form
    219,932.20/329,606.70 = 194,854.60/x
  3. Step 3: Cross multiply
    219,932.20x = 329,606.70 × 194,854.60
  4. Step 4: Simplify right side
    219,932.20x = 64,225,381,685.82
  5. Step 5: Solve for x
    x = 64,225,381,685.82/219,932.20
  6. Step 6: Final answer
    x = 292,023.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.