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Finding the Fourth Proportional to 142,235.40, 213,382.80 and 47,461.80

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Solution

The fourth proportional to 142,235.40, 213,382.80 and 47,461.80 is: 71,202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,235.40 : 213,382.80 = 47,461.80 : x
  2. Step 2: Convert to fraction form
    142,235.40/213,382.80 = 47,461.80/x
  3. Step 3: Cross multiply
    142,235.40x = 213,382.80 × 47,461.80
  4. Step 4: Simplify right side
    142,235.40x = 10,127,531,777.04
  5. Step 5: Solve for x
    x = 10,127,531,777.04/142,235.40
  6. Step 6: Final answer
    x = 71,202.61

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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.