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Finding the Fourth Proportional to 105,909.84, 146,101.54 and 67,629.14

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Solution

The fourth proportional to 105,909.84, 146,101.54 and 67,629.14 is: 93,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,909.84 : 146,101.54 = 67,629.14 : x
  2. Step 2: Convert to fraction form
    105,909.84/146,101.54 = 67,629.14/x
  3. Step 3: Cross multiply
    105,909.84x = 146,101.54 × 67,629.14
  4. Step 4: Simplify right side
    105,909.84x = 9,880,721,412.11
  5. Step 5: Solve for x
    x = 9,880,721,412.11/105,909.84
  6. Step 6: Final answer
    x = 93,293.70

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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.