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Finding the Fourth Proportional to 109,250, 163,722.60 and 82,574.08

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Solution

The fourth proportional to 109,250, 163,722.60 and 82,574.08 is: 123,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,250 : 163,722.60 = 82,574.08 : x
  2. Step 2: Convert to fraction form
    109,250/163,722.60 = 82,574.08/x
  3. Step 3: Cross multiply
    109,250x = 163,722.60 × 82,574.08
  4. Step 4: Simplify right side
    109,250x = 13,519,243,070.21
  5. Step 5: Solve for x
    x = 13,519,243,070.21/109,250
  6. Step 6: Final answer
    x = 123,745.93

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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.