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Finding the Fourth Proportional to 123,706, 185,313.24 and 61,185.68

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Solution

The fourth proportional to 123,706, 185,313.24 and 61,185.68 is: 91,656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,706 : 185,313.24 = 61,185.68 : x
  2. Step 2: Convert to fraction form
    123,706/185,313.24 = 61,185.68/x
  3. Step 3: Cross multiply
    123,706x = 185,313.24 × 61,185.68
  4. Step 4: Simplify right side
    123,706x = 11,338,516,602.40
  5. Step 5: Solve for x
    x = 11,338,516,602.40/123,706
  6. Step 6: Final answer
    x = 91,656.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.