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Finding the Fourth Proportional to 123,142.30, 169,953.59 and 74,768.29

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Solution

The fourth proportional to 123,142.30, 169,953.59 and 74,768.29 is: 103,190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,142.30 : 169,953.59 = 74,768.29 : x
  2. Step 2: Convert to fraction form
    123,142.30/169,953.59 = 74,768.29/x
  3. Step 3: Cross multiply
    123,142.30x = 169,953.59 × 74,768.29
  4. Step 4: Simplify right side
    123,142.30x = 12,707,139,543.69
  5. Step 5: Solve for x
    x = 12,707,139,543.69/123,142.30
  6. Step 6: Final answer
    x = 103,190.69

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