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Finding the Fourth Proportional to 82,292.80, 123,266.40 and 45,313.60

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Solution

The fourth proportional to 82,292.80, 123,266.40 and 45,313.60 is: 67,875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,292.80 : 123,266.40 = 45,313.60 : x
  2. Step 2: Convert to fraction form
    82,292.80/123,266.40 = 45,313.60/x
  3. Step 3: Cross multiply
    82,292.80x = 123,266.40 × 45,313.60
  4. Step 4: Simplify right side
    82,292.80x = 5,585,644,343.04
  5. Step 5: Solve for x
    x = 5,585,644,343.04/82,292.80
  6. Step 6: Final answer
    x = 67,875.25

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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.