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Finding the Fourth Proportional to 302,054.10, 416,823.99 and 166,087.10

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Solution

The fourth proportional to 302,054.10, 416,823.99 and 166,087.10 is: 229,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,054.10 : 416,823.99 = 166,087.10 : x
  2. Step 2: Convert to fraction form
    302,054.10/416,823.99 = 166,087.10/x
  3. Step 3: Cross multiply
    302,054.10x = 416,823.99 × 166,087.10
  4. Step 4: Simplify right side
    302,054.10x = 69,229,085,625.41
  5. Step 5: Solve for x
    x = 69,229,085,625.41/302,054.10
  6. Step 6: Final answer
    x = 229,194.33

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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.