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Finding the Fourth Proportional to 219,023.20, 328,438.80 and 100,655.20

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Solution

The fourth proportional to 219,023.20, 328,438.80 and 100,655.20 is: 150,938.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,023.20 : 328,438.80 = 100,655.20 : x
  2. Step 2: Convert to fraction form
    219,023.20/328,438.80 = 100,655.20/x
  3. Step 3: Cross multiply
    219,023.20x = 328,438.80 × 100,655.20
  4. Step 4: Simplify right side
    219,023.20x = 33,059,073,101.76
  5. Step 5: Solve for x
    x = 33,059,073,101.76/219,023.20
  6. Step 6: Final answer
    x = 150,938.68

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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.