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Finding the Fourth Proportional to 161,053.38, 241,530.84 and 76,769.10

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Solution

The fourth proportional to 161,053.38, 241,530.84 and 76,769.10 is: 115,130.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,053.38 : 241,530.84 = 76,769.10 : x
  2. Step 2: Convert to fraction form
    161,053.38/241,530.84 = 76,769.10/x
  3. Step 3: Cross multiply
    161,053.38x = 241,530.84 × 76,769.10
  4. Step 4: Simplify right side
    161,053.38x = 18,542,105,209.04
  5. Step 5: Solve for x
    x = 18,542,105,209.04/161,053.38
  6. Step 6: Final answer
    x = 115,130.18

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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.