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Finding the Fourth Proportional to 162,965.20, 244,447.80 and 57,749.20

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Solution

The fourth proportional to 162,965.20, 244,447.80 and 57,749.20 is: 86,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,965.20 : 244,447.80 = 57,749.20 : x
  2. Step 2: Convert to fraction form
    162,965.20/244,447.80 = 57,749.20/x
  3. Step 3: Cross multiply
    162,965.20x = 244,447.80 × 57,749.20
  4. Step 4: Simplify right side
    162,965.20x = 14,116,664,891.76
  5. Step 5: Solve for x
    x = 14,116,664,891.76/162,965.20
  6. Step 6: Final answer
    x = 86,623.80

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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.