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Finding the Fourth Proportional to 302,043.59, 416,821.71 and 166,086.31

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Solution

The fourth proportional to 302,043.59, 416,821.71 and 166,086.31 is: 229,199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,043.59 : 416,821.71 = 166,086.31 : x
  2. Step 2: Convert to fraction form
    302,043.59/416,821.71 = 166,086.31/x
  3. Step 3: Cross multiply
    302,043.59x = 416,821.71 × 166,086.31
  4. Step 4: Simplify right side
    302,043.59x = 69,228,377,657.68
  5. Step 5: Solve for x
    x = 69,228,377,657.68/302,043.59
  6. Step 6: Final answer
    x = 229,199.96

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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.