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Finding the Fourth Proportional to 182,789.84, 274,319.50 and 86,727.45

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Solution

The fourth proportional to 182,789.84, 274,319.50 and 86,727.45 is: 130,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,789.84 : 274,319.50 = 86,727.45 : x
  2. Step 2: Convert to fraction form
    182,789.84/274,319.50 = 86,727.45/x
  3. Step 3: Cross multiply
    182,789.84x = 274,319.50 × 86,727.45
  4. Step 4: Simplify right side
    182,789.84x = 23,791,030,720.28
  5. Step 5: Solve for x
    x = 23,791,030,720.28/182,789.84
  6. Step 6: Final answer
    x = 130,155.10

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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.