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Finding the Fourth Proportional to 301,125.96, 415,561.68 and 165,165.84

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Solution

The fourth proportional to 301,125.96, 415,561.68 and 165,165.84 is: 227,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,125.96 : 415,561.68 = 165,165.84 : x
  2. Step 2: Convert to fraction form
    301,125.96/415,561.68 = 165,165.84/x
  3. Step 3: Cross multiply
    301,125.96x = 415,561.68 × 165,165.84
  4. Step 4: Simplify right side
    301,125.96x = 68,636,593,949.01
  5. Step 5: Solve for x
    x = 68,636,593,949.01/301,125.96
  6. Step 6: Final answer
    x = 227,933.17

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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.