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Finding the Fourth Proportional to 142,323.20, 213,427.20 and 48,780.80

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Solution

The fourth proportional to 142,323.20, 213,427.20 and 48,780.80 is: 73,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,323.20 : 213,427.20 = 48,780.80 : x
  2. Step 2: Convert to fraction form
    142,323.20/213,427.20 = 48,780.80/x
  3. Step 3: Cross multiply
    142,323.20x = 213,427.20 × 48,780.80
  4. Step 4: Simplify right side
    142,323.20x = 10,411,149,557.76
  5. Step 5: Solve for x
    x = 10,411,149,557.76/142,323.20
  6. Step 6: Final answer
    x = 73,151.46

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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.