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Finding the Fourth Proportional to 137,822.48, 190,215.84 and 84,138.80

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Solution

The fourth proportional to 137,822.48, 190,215.84 and 84,138.80 is: 116,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,822.48 : 190,215.84 = 84,138.80 : x
  2. Step 2: Convert to fraction form
    137,822.48/190,215.84 = 84,138.80/x
  3. Step 3: Cross multiply
    137,822.48x = 190,215.84 × 84,138.80
  4. Step 4: Simplify right side
    137,822.48x = 16,004,532,518.59
  5. Step 5: Solve for x
    x = 16,004,532,518.59/137,822.48
  6. Step 6: Final answer
    x = 116,124.25

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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.