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Finding the Fourth Proportional to 98,722.68, 147,994.42 and 51,282.32

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Solution

The fourth proportional to 98,722.68, 147,994.42 and 51,282.32 is: 76,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,722.68 : 147,994.42 = 51,282.32 : x
  2. Step 2: Convert to fraction form
    98,722.68/147,994.42 = 51,282.32/x
  3. Step 3: Cross multiply
    98,722.68x = 147,994.42 × 51,282.32
  4. Step 4: Simplify right side
    98,722.68x = 7,589,497,204.65
  5. Step 5: Solve for x
    x = 7,589,497,204.65/98,722.68
  6. Step 6: Final answer
    x = 76,876.94

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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.