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Finding the Fourth Proportional to 102,524.67, 153,928.67 and 70,856.72

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Solution

The fourth proportional to 102,524.67, 153,928.67 and 70,856.72 is: 106,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,524.67 : 153,928.67 = 70,856.72 : x
  2. Step 2: Convert to fraction form
    102,524.67/153,928.67 = 70,856.72/x
  3. Step 3: Cross multiply
    102,524.67x = 153,928.67 × 70,856.72
  4. Step 4: Simplify right side
    102,524.67x = 10,906,879,546.24
  5. Step 5: Solve for x
    x = 10,906,879,546.24/102,524.67
  6. Step 6: Final answer
    x = 106,382.98

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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.