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Finding the Fourth Proportional to 142,203.20, 213,247.20 and 48,660.80

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Solution

The fourth proportional to 142,203.20, 213,247.20 and 48,660.80 is: 72,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,203.20 : 213,247.20 = 48,660.80 : x
  2. Step 2: Convert to fraction form
    142,203.20/213,247.20 = 48,660.80/x
  3. Step 3: Cross multiply
    142,203.20x = 213,247.20 × 48,660.80
  4. Step 4: Simplify right side
    142,203.20x = 10,376,779,349.76
  5. Step 5: Solve for x
    x = 10,376,779,349.76/142,203.20
  6. Step 6: Final answer
    x = 72,971.49

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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.