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Finding the Fourth Proportional to 162,446.88, 223,971.16 and 104,989.54

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Solution

The fourth proportional to 162,446.88, 223,971.16 and 104,989.54 is: 144,752.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,446.88 : 223,971.16 = 104,989.54 : x
  2. Step 2: Convert to fraction form
    162,446.88/223,971.16 = 104,989.54/x
  3. Step 3: Cross multiply
    162,446.88x = 223,971.16 × 104,989.54
  4. Step 4: Simplify right side
    162,446.88x = 23,514,629,061.67
  5. Step 5: Solve for x
    x = 23,514,629,061.67/162,446.88
  6. Step 6: Final answer
    x = 144,752.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.