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Finding the Fourth Proportional to 98,734.44, 147,970.44 and 85,524.96

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Solution

The fourth proportional to 98,734.44, 147,970.44 and 85,524.96 is: 128,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,734.44 : 147,970.44 = 85,524.96 : x
  2. Step 2: Convert to fraction form
    98,734.44/147,970.44 = 85,524.96/x
  3. Step 3: Cross multiply
    98,734.44x = 147,970.44 × 85,524.96
  4. Step 4: Simplify right side
    98,734.44x = 12,655,165,962.18
  5. Step 5: Solve for x
    x = 12,655,165,962.18/98,734.44
  6. Step 6: Final answer
    x = 128,173.78

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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.