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Finding the Fourth Proportional to 123,202.42, 170,036.82 and 74,828.81

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Solution

The fourth proportional to 123,202.42, 170,036.82 and 74,828.81 is: 103,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,202.42 : 170,036.82 = 74,828.81 : x
  2. Step 2: Convert to fraction form
    123,202.42/170,036.82 = 74,828.81/x
  3. Step 3: Cross multiply
    123,202.42x = 170,036.82 × 74,828.81
  4. Step 4: Simplify right side
    123,202.42x = 12,723,653,321.88
  5. Step 5: Solve for x
    x = 12,723,653,321.88/123,202.42
  6. Step 6: Final answer
    x = 103,274.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.