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Finding the Fourth Proportional to 114,765.96, 158,430.96 and 76,589.04

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Solution

The fourth proportional to 114,765.96, 158,430.96 and 76,589.04 is: 105,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,765.96 : 158,430.96 = 76,589.04 : x
  2. Step 2: Convert to fraction form
    114,765.96/158,430.96 = 76,589.04/x
  3. Step 3: Cross multiply
    114,765.96x = 158,430.96 × 76,589.04
  4. Step 4: Simplify right side
    114,765.96x = 12,134,075,132.68
  5. Step 5: Solve for x
    x = 12,134,075,132.68/114,765.96
  6. Step 6: Final answer
    x = 105,728.87

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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.