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Finding the Fourth Proportional to 185,820.86, 278,731.30 and 80,637.50

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Solution

The fourth proportional to 185,820.86, 278,731.30 and 80,637.50 is: 120,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,820.86 : 278,731.30 = 80,637.50 : x
  2. Step 2: Convert to fraction form
    185,820.86/278,731.30 = 80,637.50/x
  3. Step 3: Cross multiply
    185,820.86x = 278,731.30 × 80,637.50
  4. Step 4: Simplify right side
    185,820.86x = 22,476,195,203.75
  5. Step 5: Solve for x
    x = 22,476,195,203.75/185,820.86
  6. Step 6: Final answer
    x = 120,956.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.