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Finding the Fourth Proportional to 169,101.84, 253,654.92 and 80,364

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Solution

The fourth proportional to 169,101.84, 253,654.92 and 80,364 is: 120,547.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,101.84 : 253,654.92 = 80,364 : x
  2. Step 2: Convert to fraction form
    169,101.84/253,654.92 = 80,364/x
  3. Step 3: Cross multiply
    169,101.84x = 253,654.92 × 80,364
  4. Step 4: Simplify right side
    169,101.84x = 20,384,723,990.88
  5. Step 5: Solve for x
    x = 20,384,723,990.88/169,101.84
  6. Step 6: Final answer
    x = 120,547.03

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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.