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Finding the Fourth Proportional to 82,588.40, 123,258.49 and 74,616.80

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Solution

The fourth proportional to 82,588.40, 123,258.49 and 74,616.80 is: 111,361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,588.40 : 123,258.49 = 74,616.80 : x
  2. Step 2: Convert to fraction form
    82,588.40/123,258.49 = 74,616.80/x
  3. Step 3: Cross multiply
    82,588.40x = 123,258.49 × 74,616.80
  4. Step 4: Simplify right side
    82,588.40x = 9,197,154,096.63
  5. Step 5: Solve for x
    x = 9,197,154,096.63/82,588.40
  6. Step 6: Final answer
    x = 111,361.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.