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Finding the Fourth Proportional to 105,469.56, 145,547.86 and 59,538.86

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Solution

The fourth proportional to 105,469.56, 145,547.86 and 59,538.86 is: 82,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,469.56 : 145,547.86 = 59,538.86 : x
  2. Step 2: Convert to fraction form
    105,469.56/145,547.86 = 59,538.86/x
  3. Step 3: Cross multiply
    105,469.56x = 145,547.86 × 59,538.86
  4. Step 4: Simplify right side
    105,469.56x = 8,665,753,659.84
  5. Step 5: Solve for x
    x = 8,665,753,659.84/105,469.56
  6. Step 6: Final answer
    x = 82,163.55

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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.