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Finding the Fourth Proportional to 122,224.80, 183,220 and 77,713.76

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Solution

The fourth proportional to 122,224.80, 183,220 and 77,713.76 is: 116,496.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,224.80 : 183,220 = 77,713.76 : x
  2. Step 2: Convert to fraction form
    122,224.80/183,220 = 77,713.76/x
  3. Step 3: Cross multiply
    122,224.80x = 183,220 × 77,713.76
  4. Step 4: Simplify right side
    122,224.80x = 14,238,715,107.20
  5. Step 5: Solve for x
    x = 14,238,715,107.20/122,224.80
  6. Step 6: Final answer
    x = 116,496.12

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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.