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Finding the Fourth Proportional to 208,545.96, 312,897.24 and 96,279.96

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Solution

The fourth proportional to 208,545.96, 312,897.24 and 96,279.96 is: 144,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,545.96 : 312,897.24 = 96,279.96 : x
  2. Step 2: Convert to fraction form
    208,545.96/312,897.24 = 96,279.96/x
  3. Step 3: Cross multiply
    208,545.96x = 312,897.24 × 96,279.96
  4. Step 4: Simplify right side
    208,545.96x = 30,125,733,751.31
  5. Step 5: Solve for x
    x = 30,125,733,751.31/208,545.96
  6. Step 6: Final answer
    x = 144,456.09

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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.