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Finding the Fourth Proportional to 182,223.78, 273,355.11 and 77,053.38

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Solution

The fourth proportional to 182,223.78, 273,355.11 and 77,053.38 is: 115,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,223.78 : 273,355.11 = 77,053.38 : x
  2. Step 2: Convert to fraction form
    182,223.78/273,355.11 = 77,053.38/x
  3. Step 3: Cross multiply
    182,223.78x = 273,355.11 × 77,053.38
  4. Step 4: Simplify right side
    182,223.78x = 21,062,935,165.77
  5. Step 5: Solve for x
    x = 21,062,935,165.77/182,223.78
  6. Step 6: Final answer
    x = 115,588.29

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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.