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Finding the Fourth Proportional to 302,045.44, 416,824.25 and 166,088.18

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Solution

The fourth proportional to 302,045.44, 416,824.25 and 166,088.18 is: 229,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,045.44 : 416,824.25 = 166,088.18 : x
  2. Step 2: Convert to fraction form
    302,045.44/416,824.25 = 166,088.18/x
  3. Step 3: Cross multiply
    302,045.44x = 416,824.25 × 166,088.18
  4. Step 4: Simplify right side
    302,045.44x = 69,229,580,231.92
  5. Step 5: Solve for x
    x = 69,229,580,231.92/302,045.44
  6. Step 6: Final answer
    x = 229,202.54

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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.