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Finding the Fourth Proportional to 219,301.20, 328,951.80 and 140,569.20

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Solution

The fourth proportional to 219,301.20, 328,951.80 and 140,569.20 is: 210,853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,301.20 : 328,951.80 = 140,569.20 : x
  2. Step 2: Convert to fraction form
    219,301.20/328,951.80 = 140,569.20/x
  3. Step 3: Cross multiply
    219,301.20x = 328,951.80 × 140,569.20
  4. Step 4: Simplify right side
    219,301.20x = 46,240,491,364.56
  5. Step 5: Solve for x
    x = 46,240,491,364.56/219,301.20
  6. Step 6: Final answer
    x = 210,853.80

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1.5x scale

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.