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Finding the Fourth Proportional to 200,214.08, 300,113.76 and 164,781.44

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Solution

The fourth proportional to 200,214.08, 300,113.76 and 164,781.44 is: 247,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,214.08 : 300,113.76 = 164,781.44 : x
  2. Step 2: Convert to fraction form
    200,214.08/300,113.76 = 164,781.44/x
  3. Step 3: Cross multiply
    200,214.08x = 300,113.76 × 164,781.44
  4. Step 4: Simplify right side
    200,214.08x = 49,453,177,536.61
  5. Step 5: Solve for x
    x = 49,453,177,536.61/200,214.08
  6. Step 6: Final answer
    x = 247,001.50

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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.