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Finding the Fourth Proportional to 107,356.56, 160,311.90 and 87,674.16

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Solution

The fourth proportional to 107,356.56, 160,311.90 and 87,674.16 is: 130,920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,356.56 : 160,311.90 = 87,674.16 : x
  2. Step 2: Convert to fraction form
    107,356.56/160,311.90 = 87,674.16/x
  3. Step 3: Cross multiply
    107,356.56x = 160,311.90 × 87,674.16
  4. Step 4: Simplify right side
    107,356.56x = 14,055,211,170.50
  5. Step 5: Solve for x
    x = 14,055,211,170.50/107,356.56
  6. Step 6: Final answer
    x = 130,920.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.