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Finding the Fourth Proportional to 200,866.76, 300,678.02 and 117,922.76

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Solution

The fourth proportional to 200,866.76, 300,678.02 and 117,922.76 is: 176,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,866.76 : 300,678.02 = 117,922.76 : x
  2. Step 2: Convert to fraction form
    200,866.76/300,678.02 = 117,922.76/x
  3. Step 3: Cross multiply
    200,866.76x = 300,678.02 × 117,922.76
  4. Step 4: Simplify right side
    200,866.76x = 35,456,781,989.74
  5. Step 5: Solve for x
    x = 35,456,781,989.74/200,866.76
  6. Step 6: Final answer
    x = 176,518.91

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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.