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Finding the Fourth Proportional to 105,223.87, 157,859.12 and 30,338.17

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Solution

The fourth proportional to 105,223.87, 157,859.12 and 30,338.17 is: 45,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,223.87 : 157,859.12 = 30,338.17 : x
  2. Step 2: Convert to fraction form
    105,223.87/157,859.12 = 30,338.17/x
  3. Step 3: Cross multiply
    105,223.87x = 157,859.12 × 30,338.17
  4. Step 4: Simplify right side
    105,223.87x = 4,789,156,818.61
  5. Step 5: Solve for x
    x = 4,789,156,818.61/105,223.87
  6. Step 6: Final answer
    x = 45,513.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.