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Finding the Fourth Proportional to 323,432.20, 485,148.30 and 146,139.40

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Solution

The fourth proportional to 323,432.20, 485,148.30 and 146,139.40 is: 219,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,432.20 : 485,148.30 = 146,139.40 : x
  2. Step 2: Convert to fraction form
    323,432.20/485,148.30 = 146,139.40/x
  3. Step 3: Cross multiply
    323,432.20x = 485,148.30 × 146,139.40
  4. Step 4: Simplify right side
    323,432.20x = 70,899,281,473.02
  5. Step 5: Solve for x
    x = 70,899,281,473.02/323,432.20
  6. Step 6: Final answer
    x = 219,209.10

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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.