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Finding the Fourth Proportional to 82,256.80, 123,212.40 and 45,277.60

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Solution

The fourth proportional to 82,256.80, 123,212.40 and 45,277.60 is: 67,821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,256.80 : 123,212.40 = 45,277.60 : x
  2. Step 2: Convert to fraction form
    82,256.80/123,212.40 = 45,277.60/x
  3. Step 3: Cross multiply
    82,256.80x = 123,212.40 × 45,277.60
  4. Step 4: Simplify right side
    82,256.80x = 5,578,761,762.24
  5. Step 5: Solve for x
    x = 5,578,761,762.24/82,256.80
  6. Step 6: Final answer
    x = 67,821.28

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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.