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Finding the Fourth Proportional to 98,577.20, 147,865.80 and 92,016.20

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Solution

The fourth proportional to 98,577.20, 147,865.80 and 92,016.20 is: 138,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,577.20 : 147,865.80 = 92,016.20 : x
  2. Step 2: Convert to fraction form
    98,577.20/147,865.80 = 92,016.20/x
  3. Step 3: Cross multiply
    98,577.20x = 147,865.80 × 92,016.20
  4. Step 4: Simplify right side
    98,577.20x = 13,606,049,025.96
  5. Step 5: Solve for x
    x = 13,606,049,025.96/98,577.20
  6. Step 6: Final answer
    x = 138,024.30

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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.