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Finding the Fourth Proportional to 116,097.66, 160,232.28 and 70,801.92

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Solution

The fourth proportional to 116,097.66, 160,232.28 and 70,801.92 is: 97,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,097.66 : 160,232.28 = 70,801.92 : x
  2. Step 2: Convert to fraction form
    116,097.66/160,232.28 = 70,801.92/x
  3. Step 3: Cross multiply
    116,097.66x = 160,232.28 × 70,801.92
  4. Step 4: Simplify right side
    116,097.66x = 11,344,752,846.40
  5. Step 5: Solve for x
    x = 11,344,752,846.40/116,097.66
  6. Step 6: Final answer
    x = 97,717.33

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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.