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Finding the Fourth Proportional to 105,178.50, 157,813.98 and 55,246.99

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Solution

The fourth proportional to 105,178.50, 157,813.98 and 55,246.99 is: 82,894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,178.50 : 157,813.98 = 55,246.99 : x
  2. Step 2: Convert to fraction form
    105,178.50/157,813.98 = 55,246.99/x
  3. Step 3: Cross multiply
    105,178.50x = 157,813.98 × 55,246.99
  4. Step 4: Simplify right side
    105,178.50x = 8,718,747,374.92
  5. Step 5: Solve for x
    x = 8,718,747,374.92/105,178.50
  6. Step 6: Final answer
    x = 82,894.77

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Why These Related Problems?

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