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Finding the Fourth Proportional to 101,776, 140,450.94 and 62,032

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Solution

The fourth proportional to 101,776, 140,450.94 and 62,032 is: 85,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,776 : 140,450.94 = 62,032 : x
  2. Step 2: Convert to fraction form
    101,776/140,450.94 = 62,032/x
  3. Step 3: Cross multiply
    101,776x = 140,450.94 × 62,032
  4. Step 4: Simplify right side
    101,776x = 8,712,452,710.08
  5. Step 5: Solve for x
    x = 8,712,452,710.08/101,776
  6. Step 6: Final answer
    x = 85,604.20

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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.