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Finding the Fourth Proportional to 302,006.81, 416,770.23 and 166,054.65

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Solution

The fourth proportional to 302,006.81, 416,770.23 and 166,054.65 is: 229,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,006.81 : 416,770.23 = 166,054.65 : x
  2. Step 2: Convert to fraction form
    302,006.81/416,770.23 = 166,054.65/x
  3. Step 3: Cross multiply
    302,006.81x = 416,770.23 × 166,054.65
  4. Step 4: Simplify right side
    302,006.81x = 69,206,634,673.07
  5. Step 5: Solve for x
    x = 69,206,634,673.07/302,006.81
  6. Step 6: Final answer
    x = 229,155.88

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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.