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Finding the Fourth Proportional to 107,047.46, 147,723.47 and 59,301.20

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Solution

The fourth proportional to 107,047.46, 147,723.47 and 59,301.20 is: 81,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,047.46 : 147,723.47 = 59,301.20 : x
  2. Step 2: Convert to fraction form
    107,047.46/147,723.47 = 59,301.20/x
  3. Step 3: Cross multiply
    107,047.46x = 147,723.47 × 59,301.20
  4. Step 4: Simplify right side
    107,047.46x = 8,760,179,370.75
  5. Step 5: Solve for x
    x = 8,760,179,370.75/107,047.46
  6. Step 6: Final answer
    x = 81,834.53

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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.