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Finding the Fourth Proportional to 200,908.02, 277,265.52 and 132,806.86

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Solution

The fourth proportional to 200,908.02, 277,265.52 and 132,806.86 is: 183,281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,908.02 : 277,265.52 = 132,806.86 : x
  2. Step 2: Convert to fraction form
    200,908.02/277,265.52 = 132,806.86/x
  3. Step 3: Cross multiply
    200,908.02x = 277,265.52 × 132,806.86
  4. Step 4: Simplify right side
    200,908.02x = 36,822,763,097.47
  5. Step 5: Solve for x
    x = 36,822,763,097.47/200,908.02
  6. Step 6: Final answer
    x = 183,281.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.