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Finding the Fourth Proportional to 106,461, 146,930.76 and 68,727.96

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Solution

The fourth proportional to 106,461, 146,930.76 and 68,727.96 is: 94,854.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,461 : 146,930.76 = 68,727.96 : x
  2. Step 2: Convert to fraction form
    106,461/146,930.76 = 68,727.96/x
  3. Step 3: Cross multiply
    106,461x = 146,930.76 × 68,727.96
  4. Step 4: Simplify right side
    106,461x = 10,098,251,396.05
  5. Step 5: Solve for x
    x = 10,098,251,396.05/106,461
  6. Step 6: Final answer
    x = 94,854.00

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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.