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Finding the Fourth Proportional to 142,357.20, 213,478.20 and 48,814.80

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Solution

The fourth proportional to 142,357.20, 213,478.20 and 48,814.80 is: 73,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,357.20 : 213,478.20 = 48,814.80 : x
  2. Step 2: Convert to fraction form
    142,357.20/213,478.20 = 48,814.80/x
  3. Step 3: Cross multiply
    142,357.20x = 213,478.20 × 48,814.80
  4. Step 4: Simplify right side
    142,357.20x = 10,420,895,637.36
  5. Step 5: Solve for x
    x = 10,420,895,637.36/142,357.20
  6. Step 6: Final answer
    x = 73,202.45

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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.