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Finding the Fourth Proportional to 107,895.40, 161,843.10 and 81,651.40

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Solution

The fourth proportional to 107,895.40, 161,843.10 and 81,651.40 is: 122,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,895.40 : 161,843.10 = 81,651.40 : x
  2. Step 2: Convert to fraction form
    107,895.40/161,843.10 = 81,651.40/x
  3. Step 3: Cross multiply
    107,895.40x = 161,843.10 × 81,651.40
  4. Step 4: Simplify right side
    107,895.40x = 13,214,715,695.34
  5. Step 5: Solve for x
    x = 13,214,715,695.34/107,895.40
  6. Step 6: Final answer
    x = 122,477.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.