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Finding the Fourth Proportional to 107,142.09, 147,863.52 and 59,399.88

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Solution

The fourth proportional to 107,142.09, 147,863.52 and 59,399.88 is: 81,975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,142.09 : 147,863.52 = 59,399.88 : x
  2. Step 2: Convert to fraction form
    107,142.09/147,863.52 = 59,399.88/x
  3. Step 3: Cross multiply
    107,142.09x = 147,863.52 × 59,399.88
  4. Step 4: Simplify right side
    107,142.09x = 8,783,075,344.38
  5. Step 5: Solve for x
    x = 8,783,075,344.38/107,142.09
  6. Step 6: Final answer
    x = 81,975.96

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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.