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Finding the Fourth Proportional to 142,052.92, 213,105.36 and 110,275

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Solution

The fourth proportional to 142,052.92, 213,105.36 and 110,275 is: 165,432.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,052.92 : 213,105.36 = 110,275 : x
  2. Step 2: Convert to fraction form
    142,052.92/213,105.36 = 110,275/x
  3. Step 3: Cross multiply
    142,052.92x = 213,105.36 × 110,275
  4. Step 4: Simplify right side
    142,052.92x = 23,500,193,574
  5. Step 5: Solve for x
    x = 23,500,193,574/142,052.92
  6. Step 6: Final answer
    x = 165,432.67

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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.