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Finding the Fourth Proportional to 107,205.68, 147,933.38 and 59,458.01

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Solution

The fourth proportional to 107,205.68, 147,933.38 and 59,458.01 is: 82,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,205.68 : 147,933.38 = 59,458.01 : x
  2. Step 2: Convert to fraction form
    107,205.68/147,933.38 = 59,458.01/x
  3. Step 3: Cross multiply
    107,205.68x = 147,933.38 × 59,458.01
  4. Step 4: Simplify right side
    107,205.68x = 8,795,823,350.42
  5. Step 5: Solve for x
    x = 8,795,823,350.42/107,205.68
  6. Step 6: Final answer
    x = 82,046.25

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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.