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Finding the Fourth Proportional to 137,038.05, 189,102.06 and 83,315.61

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Solution

The fourth proportional to 137,038.05, 189,102.06 and 83,315.61 is: 114,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,038.05 : 189,102.06 = 83,315.61 : x
  2. Step 2: Convert to fraction form
    137,038.05/189,102.06 = 83,315.61/x
  3. Step 3: Cross multiply
    137,038.05x = 189,102.06 × 83,315.61
  4. Step 4: Simplify right side
    137,038.05x = 15,755,153,481.16
  5. Step 5: Solve for x
    x = 15,755,153,481.16/137,038.05
  6. Step 6: Final answer
    x = 114,969.19

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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.