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Finding the Fourth Proportional to 142,997.76, 214,217.60 and 93,600

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Solution

The fourth proportional to 142,997.76, 214,217.60 and 93,600 is: 140,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,997.76 : 214,217.60 = 93,600 : x
  2. Step 2: Convert to fraction form
    142,997.76/214,217.60 = 93,600/x
  3. Step 3: Cross multiply
    142,997.76x = 214,217.60 × 93,600
  4. Step 4: Simplify right side
    142,997.76x = 20,050,767,360
  5. Step 5: Solve for x
    x = 20,050,767,360/142,997.76
  6. Step 6: Final answer
    x = 140,217.35

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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.