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Finding the Fourth Proportional to 302,073.41, 416,847.04 and 166,113.09

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Solution

The fourth proportional to 302,073.41, 416,847.04 and 166,113.09 is: 229,228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,073.41 : 416,847.04 = 166,113.09 : x
  2. Step 2: Convert to fraction form
    302,073.41/416,847.04 = 166,113.09/x
  3. Step 3: Cross multiply
    302,073.41x = 416,847.04 × 166,113.09
  4. Step 4: Simplify right side
    302,073.41x = 69,243,750,626.65
  5. Step 5: Solve for x
    x = 69,243,750,626.65/302,073.41
  6. Step 6: Final answer
    x = 229,228.22

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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.