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Finding the Fourth Proportional to 105,870.80, 146,101.10 and 57,473.71

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Solution

The fourth proportional to 105,870.80, 146,101.10 and 57,473.71 is: 79,313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,870.80 : 146,101.10 = 57,473.71 : x
  2. Step 2: Convert to fraction form
    105,870.80/146,101.10 = 57,473.71/x
  3. Step 3: Cross multiply
    105,870.80x = 146,101.10 × 57,473.71
  4. Step 4: Simplify right side
    105,870.80x = 8,396,971,599.46
  5. Step 5: Solve for x
    x = 8,396,971,599.46/105,870.80
  6. Step 6: Final answer
    x = 79,313.38

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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.