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Finding the Fourth Proportional to 291,337.72, 402,045.66 and 164,054.44

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Solution

The fourth proportional to 291,337.72, 402,045.66 and 164,054.44 is: 226,394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,337.72 : 402,045.66 = 164,054.44 : x
  2. Step 2: Convert to fraction form
    291,337.72/402,045.66 = 164,054.44/x
  3. Step 3: Cross multiply
    291,337.72x = 402,045.66 × 164,054.44
  4. Step 4: Simplify right side
    291,337.72x = 65,957,375,605.73
  5. Step 5: Solve for x
    x = 65,957,375,605.73/291,337.72
  6. Step 6: Final answer
    x = 226,394.91

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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.