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Finding the Fourth Proportional to 101,830.41, 140,522.25 and 56,510.37

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Solution

The fourth proportional to 101,830.41, 140,522.25 and 56,510.37 is: 77,982.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,830.41 : 140,522.25 = 56,510.37 : x
  2. Step 2: Convert to fraction form
    101,830.41/140,522.25 = 56,510.37/x
  3. Step 3: Cross multiply
    101,830.41x = 140,522.25 × 56,510.37
  4. Step 4: Simplify right side
    101,830.41x = 7,940,964,340.73
  5. Step 5: Solve for x
    x = 7,940,964,340.73/101,830.41
  6. Step 6: Final answer
    x = 77,982.25

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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.