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Finding the Fourth Proportional to 234,094.76, 350,218.28 and 180,379.80

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Solution

The fourth proportional to 234,094.76, 350,218.28 and 180,379.80 is: 269,857.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,094.76 : 350,218.28 = 180,379.80 : x
  2. Step 2: Convert to fraction form
    234,094.76/350,218.28 = 180,379.80/x
  3. Step 3: Cross multiply
    234,094.76x = 350,218.28 × 180,379.80
  4. Step 4: Simplify right side
    234,094.76x = 63,172,303,302.74
  5. Step 5: Solve for x
    x = 63,172,303,302.74/234,094.76
  6. Step 6: Final answer
    x = 269,857.83

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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.