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Finding the Fourth Proportional to 234,810.39, 323,914.24 and 166,854.84

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Solution

The fourth proportional to 234,810.39, 323,914.24 and 166,854.84 is: 230,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,810.39 : 323,914.24 = 166,854.84 : x
  2. Step 2: Convert to fraction form
    234,810.39/323,914.24 = 166,854.84/x
  3. Step 3: Cross multiply
    234,810.39x = 323,914.24 × 166,854.84
  4. Step 4: Simplify right side
    234,810.39x = 54,046,657,682.81
  5. Step 5: Solve for x
    x = 54,046,657,682.81/234,810.39
  6. Step 6: Final answer
    x = 230,171.49

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1.5x scale

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.