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Finding the Fourth Proportional to 108,854.77, 163,344.34 and 42,286.23

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Solution

The fourth proportional to 108,854.77, 163,344.34 and 42,286.23 is: 63,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,854.77 : 163,344.34 = 42,286.23 : x
  2. Step 2: Convert to fraction form
    108,854.77/163,344.34 = 42,286.23/x
  3. Step 3: Cross multiply
    108,854.77x = 163,344.34 × 42,286.23
  4. Step 4: Simplify right side
    108,854.77x = 6,907,216,527.37
  5. Step 5: Solve for x
    x = 6,907,216,527.37/108,854.77
  6. Step 6: Final answer
    x = 63,453.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.