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Finding the Fourth Proportional to 106,983.86, 147,642.32 and 59,237.17

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Solution

The fourth proportional to 106,983.86, 147,642.32 and 59,237.17 is: 81,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,983.86 : 147,642.32 = 59,237.17 : x
  2. Step 2: Convert to fraction form
    106,983.86/147,642.32 = 59,237.17/x
  3. Step 3: Cross multiply
    106,983.86x = 147,642.32 × 59,237.17
  4. Step 4: Simplify right side
    106,983.86x = 8,745,913,651.91
  5. Step 5: Solve for x
    x = 8,745,913,651.91/106,983.86
  6. Step 6: Final answer
    x = 81,749.84

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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.