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Finding the Fourth Proportional to 172,648.65, 238,291.89 and 116,027.22

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Solution

The fourth proportional to 172,648.65, 238,291.89 and 116,027.22 is: 160,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,648.65 : 238,291.89 = 116,027.22 : x
  2. Step 2: Convert to fraction form
    172,648.65/238,291.89 = 116,027.22/x
  3. Step 3: Cross multiply
    172,648.65x = 238,291.89 × 116,027.22
  4. Step 4: Simplify right side
    172,648.65x = 27,648,345,545.25
  5. Step 5: Solve for x
    x = 27,648,345,545.25/172,648.65
  6. Step 6: Final answer
    x = 160,142.26

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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.