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Finding the Fourth Proportional to 105,596.73, 145,723.50 and 63,155.25

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Solution

The fourth proportional to 105,596.73, 145,723.50 and 63,155.25 is: 87,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,596.73 : 145,723.50 = 63,155.25 : x
  2. Step 2: Convert to fraction form
    105,596.73/145,723.50 = 63,155.25/x
  3. Step 3: Cross multiply
    105,596.73x = 145,723.50 × 63,155.25
  4. Step 4: Simplify right side
    105,596.73x = 9,203,204,073.38
  5. Step 5: Solve for x
    x = 9,203,204,073.38/105,596.73
  6. Step 6: Final answer
    x = 87,154.25

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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.