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Finding the Fourth Proportional to 185,989.10, 278,983.68 and 86,094.68

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Solution

The fourth proportional to 185,989.10, 278,983.68 and 86,094.68 is: 129,142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,989.10 : 278,983.68 = 86,094.68 : x
  2. Step 2: Convert to fraction form
    185,989.10/278,983.68 = 86,094.68/x
  3. Step 3: Cross multiply
    185,989.10x = 278,983.68 × 86,094.68
  4. Step 4: Simplify right side
    185,989.10x = 24,019,010,654.82
  5. Step 5: Solve for x
    x = 24,019,010,654.82/185,989.10
  6. Step 6: Final answer
    x = 129,142.03

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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.