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Finding the Fourth Proportional to 222,239.94, 306,688.77 and 120,263.16

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Solution

The fourth proportional to 222,239.94, 306,688.77 and 120,263.16 is: 165,961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,239.94 : 306,688.77 = 120,263.16 : x
  2. Step 2: Convert to fraction form
    222,239.94/306,688.77 = 120,263.16/x
  3. Step 3: Cross multiply
    222,239.94x = 306,688.77 × 120,263.16
  4. Step 4: Simplify right side
    222,239.94x = 36,883,360,616.71
  5. Step 5: Solve for x
    x = 36,883,360,616.71/222,239.94
  6. Step 6: Final answer
    x = 165,961.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.