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Finding the Fourth Proportional to 101,823.94, 152,674.52 and 45,653.90

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Solution

The fourth proportional to 101,823.94, 152,674.52 and 45,653.90 is: 68,453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,823.94 : 152,674.52 = 45,653.90 : x
  2. Step 2: Convert to fraction form
    101,823.94/152,674.52 = 45,653.90/x
  3. Step 3: Cross multiply
    101,823.94x = 152,674.52 × 45,653.90
  4. Step 4: Simplify right side
    101,823.94x = 6,970,187,268.63
  5. Step 5: Solve for x
    x = 6,970,187,268.63/101,823.94
  6. Step 6: Final answer
    x = 68,453.33

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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.