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Finding the Fourth Proportional to 123,448.24, 185,181.08 and 61,102

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Solution

The fourth proportional to 123,448.24, 185,181.08 and 61,102 is: 91,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,448.24 : 185,181.08 = 61,102 : x
  2. Step 2: Convert to fraction form
    123,448.24/185,181.08 = 61,102/x
  3. Step 3: Cross multiply
    123,448.24x = 185,181.08 × 61,102
  4. Step 4: Simplify right side
    123,448.24x = 11,314,934,350.16
  5. Step 5: Solve for x
    x = 11,314,934,350.16/123,448.24
  6. Step 6: Final answer
    x = 91,657.32

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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.