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Finding the Fourth Proportional to 268,657.39, 402,971.51 and 81,654.31

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Solution

The fourth proportional to 268,657.39, 402,971.51 and 81,654.31 is: 122,477.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,657.39 : 402,971.51 = 81,654.31 : x
  2. Step 2: Convert to fraction form
    268,657.39/402,971.51 = 81,654.31/x
  3. Step 3: Cross multiply
    268,657.39x = 402,971.51 × 81,654.31
  4. Step 4: Simplify right side
    268,657.39x = 32,904,360,598.71
  5. Step 5: Solve for x
    x = 32,904,360,598.71/268,657.39
  6. Step 6: Final answer
    x = 122,477.04

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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.