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Finding the Fourth Proportional to 200,886.16, 277,193.80 and 129,363.12

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Solution

The fourth proportional to 200,886.16, 277,193.80 and 129,363.12 is: 178,502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,886.16 : 277,193.80 = 129,363.12 : x
  2. Step 2: Convert to fraction form
    200,886.16/277,193.80 = 129,363.12/x
  3. Step 3: Cross multiply
    200,886.16x = 277,193.80 × 129,363.12
  4. Step 4: Simplify right side
    200,886.16x = 35,858,654,812.66
  5. Step 5: Solve for x
    x = 35,858,654,812.66/200,886.16
  6. Step 6: Final answer
    x = 178,502.37

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1.5x scale

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.