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Finding the Fourth Proportional to 142,762.64, 214,162.79 and 52,793.10

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Solution

The fourth proportional to 142,762.64, 214,162.79 and 52,793.10 is: 79,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,762.64 : 214,162.79 = 52,793.10 : x
  2. Step 2: Convert to fraction form
    142,762.64/214,162.79 = 52,793.10/x
  3. Step 3: Cross multiply
    142,762.64x = 214,162.79 × 52,793.10
  4. Step 4: Simplify right side
    142,762.64x = 11,306,317,324.78
  5. Step 5: Solve for x
    x = 11,306,317,324.78/142,762.64
  6. Step 6: Final answer
    x = 79,196.61

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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.