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Finding the Fourth Proportional to 101,610.96, 140,225.44 and 59,154

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Solution

The fourth proportional to 101,610.96, 140,225.44 and 59,154 is: 81,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,610.96 : 140,225.44 = 59,154 : x
  2. Step 2: Convert to fraction form
    101,610.96/140,225.44 = 59,154/x
  3. Step 3: Cross multiply
    101,610.96x = 140,225.44 × 59,154
  4. Step 4: Simplify right side
    101,610.96x = 8,294,895,677.76
  5. Step 5: Solve for x
    x = 8,294,895,677.76/101,610.96
  6. Step 6: Final answer
    x = 81,633.87

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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.