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Finding the Fourth Proportional to 115,446.86, 159,315.15 and 64,460.46

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Solution

The fourth proportional to 115,446.86, 159,315.15 and 64,460.46 is: 88,954.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,446.86 : 159,315.15 = 64,460.46 : x
  2. Step 2: Convert to fraction form
    115,446.86/159,315.15 = 64,460.46/x
  3. Step 3: Cross multiply
    115,446.86x = 159,315.15 × 64,460.46
  4. Step 4: Simplify right side
    115,446.86x = 10,269,527,853.97
  5. Step 5: Solve for x
    x = 10,269,527,853.97/115,446.86
  6. Step 6: Final answer
    x = 88,954.59

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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.