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Finding the Fourth Proportional to 98,194.70, 147,194.85 and 48,233.90

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Solution

The fourth proportional to 98,194.70, 147,194.85 and 48,233.90 is: 72,303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,194.70 : 147,194.85 = 48,233.90 : x
  2. Step 2: Convert to fraction form
    98,194.70/147,194.85 = 48,233.90/x
  3. Step 3: Cross multiply
    98,194.70x = 147,194.85 × 48,233.90
  4. Step 4: Simplify right side
    98,194.70x = 7,099,781,675.42
  5. Step 5: Solve for x
    x = 7,099,781,675.42/98,194.70
  6. Step 6: Final answer
    x = 72,303.10

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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.