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Finding the Fourth Proportional to 101,538.30, 140,159.65 and 59,096.84

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Solution

The fourth proportional to 101,538.30, 140,159.65 and 59,096.84 is: 81,575.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,538.30 : 140,159.65 = 59,096.84 : x
  2. Step 2: Convert to fraction form
    101,538.30/140,159.65 = 59,096.84/x
  3. Step 3: Cross multiply
    101,538.30x = 140,159.65 × 59,096.84
  4. Step 4: Simplify right side
    101,538.30x = 8,282,992,410.51
  5. Step 5: Solve for x
    x = 8,282,992,410.51/101,538.30
  6. Step 6: Final answer
    x = 81,575.06

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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.