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Finding the Fourth Proportional to 302,103, 416,847.68 and 171,281.12

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Solution

The fourth proportional to 302,103, 416,847.68 and 171,281.12 is: 236,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,103 : 416,847.68 = 171,281.12 : x
  2. Step 2: Convert to fraction form
    302,103/416,847.68 = 171,281.12/x
  3. Step 3: Cross multiply
    302,103x = 416,847.68 × 171,281.12
  4. Step 4: Simplify right side
    302,103x = 71,398,137,499.80
  5. Step 5: Solve for x
    x = 71,398,137,499.80/302,103
  6. Step 6: Final answer
    x = 236,337.07

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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.