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Finding the Fourth Proportional to 105,238.94, 145,230.25 and 57,493.09

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Solution

The fourth proportional to 105,238.94, 145,230.25 and 57,493.09 is: 79,340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,238.94 : 145,230.25 = 57,493.09 : x
  2. Step 2: Convert to fraction form
    105,238.94/145,230.25 = 57,493.09/x
  3. Step 3: Cross multiply
    105,238.94x = 145,230.25 × 57,493.09
  4. Step 4: Simplify right side
    105,238.94x = 8,349,735,107.82
  5. Step 5: Solve for x
    x = 8,349,735,107.82/105,238.94
  6. Step 6: Final answer
    x = 79,340.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.