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Finding the Fourth Proportional to 107,284.34, 148,057.44 and 59,538.08

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Solution

The fourth proportional to 107,284.34, 148,057.44 and 59,538.08 is: 82,165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,284.34 : 148,057.44 = 59,538.08 : x
  2. Step 2: Convert to fraction form
    107,284.34/148,057.44 = 59,538.08/x
  3. Step 3: Cross multiply
    107,284.34x = 148,057.44 × 59,538.08
  4. Step 4: Simplify right side
    107,284.34x = 8,815,055,707.32
  5. Step 5: Solve for x
    x = 8,815,055,707.32/107,284.34
  6. Step 6: Final answer
    x = 82,165.35

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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.