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Finding the Fourth Proportional to 139,887, 193,044.15 and 76,224.78

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Solution

The fourth proportional to 139,887, 193,044.15 and 76,224.78 is: 105,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,887 : 193,044.15 = 76,224.78 : x
  2. Step 2: Convert to fraction form
    139,887/193,044.15 = 76,224.78/x
  3. Step 3: Cross multiply
    139,887x = 193,044.15 × 76,224.78
  4. Step 4: Simplify right side
    139,887x = 14,714,747,864.04
  5. Step 5: Solve for x
    x = 14,714,747,864.04/139,887
  6. Step 6: Final answer
    x = 105,190.25

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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.