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Finding the Fourth Proportional to 277,545.78, 416,333.41 and 88,021.08

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Solution

The fourth proportional to 277,545.78, 416,333.41 and 88,021.08 is: 132,036.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,545.78 : 416,333.41 = 88,021.08 : x
  2. Step 2: Convert to fraction form
    277,545.78/416,333.41 = 88,021.08/x
  3. Step 3: Cross multiply
    277,545.78x = 416,333.41 × 88,021.08
  4. Step 4: Simplify right side
    277,545.78x = 36,646,116,168.23
  5. Step 5: Solve for x
    x = 36,646,116,168.23/277,545.78
  6. Step 6: Final answer
    x = 132,036.29

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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.