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Finding the Fourth Proportional to 122,086.50, 183,961.65 and 100,386

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Solution

The fourth proportional to 122,086.50, 183,961.65 and 100,386 is: 151,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,086.50 : 183,961.65 = 100,386 : x
  2. Step 2: Convert to fraction form
    122,086.50/183,961.65 = 100,386/x
  3. Step 3: Cross multiply
    122,086.50x = 183,961.65 × 100,386
  4. Step 4: Simplify right side
    122,086.50x = 18,467,174,196.90
  5. Step 5: Solve for x
    x = 18,467,174,196.90/122,086.50
  6. Step 6: Final answer
    x = 151,263.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.