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Finding the Fourth Proportional to 123,538.50, 170,501.42 and 78,220.69

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Solution

The fourth proportional to 123,538.50, 170,501.42 and 78,220.69 is: 107,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,538.50 : 170,501.42 = 78,220.69 : x
  2. Step 2: Convert to fraction form
    123,538.50/170,501.42 = 78,220.69/x
  3. Step 3: Cross multiply
    123,538.50x = 170,501.42 × 78,220.69
  4. Step 4: Simplify right side
    123,538.50x = 13,336,738,487.68
  5. Step 5: Solve for x
    x = 13,336,738,487.68/123,538.50
  6. Step 6: Final answer
    x = 107,956.13

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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.