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Finding the Fourth Proportional to 229,715.40, 344,918.70 and 177,184.20

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Solution

The fourth proportional to 229,715.40, 344,918.70 and 177,184.20 is: 266,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,715.40 : 344,918.70 = 177,184.20 : x
  2. Step 2: Convert to fraction form
    229,715.40/344,918.70 = 177,184.20/x
  3. Step 3: Cross multiply
    229,715.40x = 344,918.70 × 177,184.20
  4. Step 4: Simplify right side
    229,715.40x = 61,114,143,924.54
  5. Step 5: Solve for x
    x = 61,114,143,924.54/229,715.40
  6. Step 6: Final answer
    x = 266,042.87

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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.