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Finding the Fourth Proportional to 137,005.16, 188,944.25 and 114,111

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Solution

The fourth proportional to 137,005.16, 188,944.25 and 114,111 is: 157,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,005.16 : 188,944.25 = 114,111 : x
  2. Step 2: Convert to fraction form
    137,005.16/188,944.25 = 114,111/x
  3. Step 3: Cross multiply
    137,005.16x = 188,944.25 × 114,111
  4. Step 4: Simplify right side
    137,005.16x = 21,560,616,741.20
  5. Step 5: Solve for x
    x = 21,560,616,741.20/137,005.16
  6. Step 6: Final answer
    x = 157,370.84

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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.