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Finding the Fourth Proportional to 178,855.83, 268,083.91 and 77,536.91

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Solution

The fourth proportional to 178,855.83, 268,083.91 and 77,536.91 is: 116,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,855.83 : 268,083.91 = 77,536.91 : x
  2. Step 2: Convert to fraction form
    178,855.83/268,083.91 = 77,536.91/x
  3. Step 3: Cross multiply
    178,855.83x = 268,083.91 × 77,536.91
  4. Step 4: Simplify right side
    178,855.83x = 20,786,398,769.25
  5. Step 5: Solve for x
    x = 20,786,398,769.25/178,855.83
  6. Step 6: Final answer
    x = 116,218.74

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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.