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Finding the Fourth Proportional to 221,402.10, 332,103.15 and 209,154.90

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Solution

The fourth proportional to 221,402.10, 332,103.15 and 209,154.90 is: 313,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,402.10 : 332,103.15 = 209,154.90 : x
  2. Step 2: Convert to fraction form
    221,402.10/332,103.15 = 209,154.90/x
  3. Step 3: Cross multiply
    221,402.10x = 332,103.15 × 209,154.90
  4. Step 4: Simplify right side
    221,402.10x = 69,461,001,127.94
  5. Step 5: Solve for x
    x = 69,461,001,127.94/221,402.10
  6. Step 6: Final answer
    x = 313,732.35

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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.