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Finding the Fourth Proportional to 122,184, 183,276 and 39,084.48

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Solution

The fourth proportional to 122,184, 183,276 and 39,084.48 is: 58,626.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,184 : 183,276 = 39,084.48 : x
  2. Step 2: Convert to fraction form
    122,184/183,276 = 39,084.48/x
  3. Step 3: Cross multiply
    122,184x = 183,276 × 39,084.48
  4. Step 4: Simplify right side
    122,184x = 7,163,247,156.48
  5. Step 5: Solve for x
    x = 7,163,247,156.48/122,184
  6. Step 6: Final answer
    x = 58,626.72

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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.