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Finding the Fourth Proportional to 176,731.80, 264,924.90 and 71,410.20

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Solution

The fourth proportional to 176,731.80, 264,924.90 and 71,410.20 is: 107,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,731.80 : 264,924.90 = 71,410.20 : x
  2. Step 2: Convert to fraction form
    176,731.80/264,924.90 = 71,410.20/x
  3. Step 3: Cross multiply
    176,731.80x = 264,924.90 × 71,410.20
  4. Step 4: Simplify right side
    176,731.80x = 18,918,340,093.98
  5. Step 5: Solve for x
    x = 18,918,340,093.98/176,731.80
  6. Step 6: Final answer
    x = 107,045.48

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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.