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Finding the Fourth Proportional to 268,203.10, 402,304.65 and 81,214.60

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Solution

The fourth proportional to 268,203.10, 402,304.65 and 81,214.60 is: 121,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,203.10 : 402,304.65 = 81,214.60 : x
  2. Step 2: Convert to fraction form
    268,203.10/402,304.65 = 81,214.60/x
  3. Step 3: Cross multiply
    268,203.10x = 402,304.65 × 81,214.60
  4. Step 4: Simplify right side
    268,203.10x = 32,673,011,227.89
  5. Step 5: Solve for x
    x = 32,673,011,227.89/268,203.10
  6. Step 6: Final answer
    x = 121,821.90

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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.