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Finding the Fourth Proportional to 200,801.80, 277,095.78 and 115,913.80

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Solution

The fourth proportional to 200,801.80, 277,095.78 and 115,913.80 is: 159,954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,801.80 : 277,095.78 = 115,913.80 : x
  2. Step 2: Convert to fraction form
    200,801.80/277,095.78 = 115,913.80/x
  3. Step 3: Cross multiply
    200,801.80x = 277,095.78 × 115,913.80
  4. Step 4: Simplify right side
    200,801.80x = 32,119,224,823.76
  5. Step 5: Solve for x
    x = 32,119,224,823.76/200,801.80
  6. Step 6: Final answer
    x = 159,954.87

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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.