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Finding the Fourth Proportional to 142,801, 214,212.28 and 48,031.46

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Solution

The fourth proportional to 142,801, 214,212.28 and 48,031.46 is: 72,050.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,801 : 214,212.28 = 48,031.46 : x
  2. Step 2: Convert to fraction form
    142,801/214,212.28 = 48,031.46/x
  3. Step 3: Cross multiply
    142,801x = 214,212.28 × 48,031.46
  4. Step 4: Simplify right side
    142,801x = 10,288,928,558.33
  5. Step 5: Solve for x
    x = 10,288,928,558.33/142,801
  6. Step 6: Final answer
    x = 72,050.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.