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Finding the Fourth Proportional to 107,284.64, 148,053.38 and 59,538.03

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Solution

The fourth proportional to 107,284.64, 148,053.38 and 59,538.03 is: 82,162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,284.64 : 148,053.38 = 59,538.03 : x
  2. Step 2: Convert to fraction form
    107,284.64/148,053.38 = 59,538.03/x
  3. Step 3: Cross multiply
    107,284.64x = 148,053.38 × 59,538.03
  4. Step 4: Simplify right side
    107,284.64x = 8,814,805,690.93
  5. Step 5: Solve for x
    x = 8,814,805,690.93/107,284.64
  6. Step 6: Final answer
    x = 82,162.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.