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Finding the Fourth Proportional to 98,081, 147,121.86 and 24,209

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Solution

The fourth proportional to 98,081, 147,121.86 and 24,209 is: 36,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,081 : 147,121.86 = 24,209 : x
  2. Step 2: Convert to fraction form
    98,081/147,121.86 = 24,209/x
  3. Step 3: Cross multiply
    98,081x = 147,121.86 × 24,209
  4. Step 4: Simplify right side
    98,081x = 3,561,673,108.74
  5. Step 5: Solve for x
    x = 3,561,673,108.74/98,081
  6. Step 6: Final answer
    x = 36,313.59

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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.