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Finding the Fourth Proportional to 312,108.96, 468,223.92 and 112,455.84

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Solution

The fourth proportional to 312,108.96, 468,223.92 and 112,455.84 is: 168,705.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,108.96 : 468,223.92 = 112,455.84 : x
  2. Step 2: Convert to fraction form
    312,108.96/468,223.92 = 112,455.84/x
  3. Step 3: Cross multiply
    312,108.96x = 468,223.92 × 112,455.84
  4. Step 4: Simplify right side
    312,108.96x = 52,654,514,231.69
  5. Step 5: Solve for x
    x = 52,654,514,231.69/312,108.96
  6. Step 6: Final answer
    x = 168,705.55

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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.