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Finding the Fourth Proportional to 200,820.48, 277,049.28 and 115,877.28

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Solution

The fourth proportional to 200,820.48, 277,049.28 and 115,877.28 is: 159,862.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,820.48 : 277,049.28 = 115,877.28 : x
  2. Step 2: Convert to fraction form
    200,820.48/277,049.28 = 115,877.28/x
  3. Step 3: Cross multiply
    200,820.48x = 277,049.28 × 115,877.28
  4. Step 4: Simplify right side
    200,820.48x = 32,103,716,992.36
  5. Step 5: Solve for x
    x = 32,103,716,992.36/200,820.48
  6. Step 6: Final answer
    x = 159,862.76

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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.