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Finding the Fourth Proportional to 106,068.49, 146,406.14 and 69,797.90

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Solution

The fourth proportional to 106,068.49, 146,406.14 and 69,797.90 is: 96,341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,068.49 : 146,406.14 = 69,797.90 : x
  2. Step 2: Convert to fraction form
    106,068.49/146,406.14 = 69,797.90/x
  3. Step 3: Cross multiply
    106,068.49x = 146,406.14 × 69,797.90
  4. Step 4: Simplify right side
    106,068.49x = 10,218,840,770.12
  5. Step 5: Solve for x
    x = 10,218,840,770.12/106,068.49
  6. Step 6: Final answer
    x = 96,341.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.