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Finding the Fourth Proportional to 116,226, 160,209.92 and 75,919.59

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Solution

The fourth proportional to 116,226, 160,209.92 and 75,919.59 is: 104,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,226 : 160,209.92 = 75,919.59 : x
  2. Step 2: Convert to fraction form
    116,226/160,209.92 = 75,919.59/x
  3. Step 3: Cross multiply
    116,226x = 160,209.92 × 75,919.59
  4. Step 4: Simplify right side
    116,226x = 12,163,071,060.73
  5. Step 5: Solve for x
    x = 12,163,071,060.73/116,226
  6. Step 6: Final answer
    x = 104,650.17

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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.