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Finding the Fourth Proportional to 122,383.69, 183,530.67 and 42,401

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Solution

The fourth proportional to 122,383.69, 183,530.67 and 42,401 is: 63,585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,383.69 : 183,530.67 = 42,401 : x
  2. Step 2: Convert to fraction form
    122,383.69/183,530.67 = 42,401/x
  3. Step 3: Cross multiply
    122,383.69x = 183,530.67 × 42,401
  4. Step 4: Simplify right side
    122,383.69x = 7,781,883,938.67
  5. Step 5: Solve for x
    x = 7,781,883,938.67/122,383.69
  6. Step 6: Final answer
    x = 63,585.96

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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.