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Finding the Fourth Proportional to 98,049.96, 147,089.52 and 45,464.76

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Solution

The fourth proportional to 98,049.96, 147,089.52 and 45,464.76 is: 68,203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,049.96 : 147,089.52 = 45,464.76 : x
  2. Step 2: Convert to fraction form
    98,049.96/147,089.52 = 45,464.76/x
  3. Step 3: Cross multiply
    98,049.96x = 147,089.52 × 45,464.76
  4. Step 4: Simplify right side
    98,049.96x = 6,687,389,725.32
  5. Step 5: Solve for x
    x = 6,687,389,725.32/98,049.96
  6. Step 6: Final answer
    x = 68,203.90

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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.