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Finding the Fourth Proportional to 278,066.98, 417,045.12 and 164,257.66

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Solution

The fourth proportional to 278,066.98, 417,045.12 and 164,257.66 is: 246,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,066.98 : 417,045.12 = 164,257.66 : x
  2. Step 2: Convert to fraction form
    278,066.98/417,045.12 = 164,257.66/x
  3. Step 3: Cross multiply
    278,066.98x = 417,045.12 × 164,257.66
  4. Step 4: Simplify right side
    278,066.98x = 68,502,855,525.62
  5. Step 5: Solve for x
    x = 68,502,855,525.62/278,066.98
  6. Step 6: Final answer
    x = 246,353.79

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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.