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Finding the Fourth Proportional to 122,016.30, 183,102.21 and 51,895.50

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Solution

The fourth proportional to 122,016.30, 183,102.21 and 51,895.50 is: 77,876.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,016.30 : 183,102.21 = 51,895.50 : x
  2. Step 2: Convert to fraction form
    122,016.30/183,102.21 = 51,895.50/x
  3. Step 3: Cross multiply
    122,016.30x = 183,102.21 × 51,895.50
  4. Step 4: Simplify right side
    122,016.30x = 9,502,180,739.06
  5. Step 5: Solve for x
    x = 9,502,180,739.06/122,016.30
  6. Step 6: Final answer
    x = 77,876.32

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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.