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Finding the Fourth Proportional to 301,099.84, 415,523.12 and 165,132.61

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Solution

The fourth proportional to 301,099.84, 415,523.12 and 165,132.61 is: 227,885.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,099.84 : 415,523.12 = 165,132.61 : x
  2. Step 2: Convert to fraction form
    301,099.84/415,523.12 = 165,132.61/x
  3. Step 3: Cross multiply
    301,099.84x = 415,523.12 × 165,132.61
  4. Step 4: Simplify right side
    301,099.84x = 68,616,417,320.94
  5. Step 5: Solve for x
    x = 68,616,417,320.94/301,099.84
  6. Step 6: Final answer
    x = 227,885.93

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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.