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Finding the Fourth Proportional to 162,786.92, 244,263.72 and 77,494.30

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Solution

The fourth proportional to 162,786.92, 244,263.72 and 77,494.30 is: 116,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,786.92 : 244,263.72 = 77,494.30 : x
  2. Step 2: Convert to fraction form
    162,786.92/244,263.72 = 77,494.30/x
  3. Step 3: Cross multiply
    162,786.92x = 244,263.72 × 77,494.30
  4. Step 4: Simplify right side
    162,786.92x = 18,929,045,676.74
  5. Step 5: Solve for x
    x = 18,929,045,676.74/162,786.92
  6. Step 6: Final answer
    x = 116,281.13

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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.