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Finding the Fourth Proportional to 123,406.29, 170,214.07 and 75,678.66

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Solution

The fourth proportional to 123,406.29, 170,214.07 and 75,678.66 is: 104,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,406.29 : 170,214.07 = 75,678.66 : x
  2. Step 2: Convert to fraction form
    123,406.29/170,214.07 = 75,678.66/x
  3. Step 3: Cross multiply
    123,406.29x = 170,214.07 × 75,678.66
  4. Step 4: Simplify right side
    123,406.29x = 12,881,572,730.75
  5. Step 5: Solve for x
    x = 12,881,572,730.75/123,406.29
  6. Step 6: Final answer
    x = 104,383.44

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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.