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Finding the Fourth Proportional to 291,375.68, 402,116.96 and 176,665.30

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Solution

The fourth proportional to 291,375.68, 402,116.96 and 176,665.30 is: 243,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,375.68 : 402,116.96 = 176,665.30 : x
  2. Step 2: Convert to fraction form
    291,375.68/402,116.96 = 176,665.30/x
  3. Step 3: Cross multiply
    291,375.68x = 402,116.96 × 176,665.30
  4. Step 4: Simplify right side
    291,375.68x = 71,040,114,078.02
  5. Step 5: Solve for x
    x = 71,040,114,078.02/291,375.68
  6. Step 6: Final answer
    x = 243,809.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.