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Finding the Fourth Proportional to 106,455.14, 146,901.39 and 61,101.21

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Solution

The fourth proportional to 106,455.14, 146,901.39 and 61,101.21 is: 84,315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,455.14 : 146,901.39 = 61,101.21 : x
  2. Step 2: Convert to fraction form
    106,455.14/146,901.39 = 61,101.21/x
  3. Step 3: Cross multiply
    106,455.14x = 146,901.39 × 61,101.21
  4. Step 4: Simplify right side
    106,455.14x = 8,975,852,679.68
  5. Step 5: Solve for x
    x = 8,975,852,679.68/106,455.14
  6. Step 6: Final answer
    x = 84,315.83

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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.