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Finding the Fourth Proportional to 208,489.16, 312,733.75 and 83,801

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Solution

The fourth proportional to 208,489.16, 312,733.75 and 83,801 is: 125,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,489.16 : 312,733.75 = 83,801 : x
  2. Step 2: Convert to fraction form
    208,489.16/312,733.75 = 83,801/x
  3. Step 3: Cross multiply
    208,489.16x = 312,733.75 × 83,801
  4. Step 4: Simplify right side
    208,489.16x = 26,207,400,983.75
  5. Step 5: Solve for x
    x = 26,207,400,983.75/208,489.16
  6. Step 6: Final answer
    x = 125,701.50

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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.