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Finding the Fourth Proportional to 268,096.60, 402,116.10 and 71,104.60

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Solution

The fourth proportional to 268,096.60, 402,116.10 and 71,104.60 is: 106,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,096.60 : 402,116.10 = 71,104.60 : x
  2. Step 2: Convert to fraction form
    268,096.60/402,116.10 = 71,104.60/x
  3. Step 3: Cross multiply
    268,096.60x = 402,116.10 × 71,104.60
  4. Step 4: Simplify right side
    268,096.60x = 28,592,304,444.06
  5. Step 5: Solve for x
    x = 28,592,304,444.06/268,096.60
  6. Step 6: Final answer
    x = 106,649.26

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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.