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Finding the Fourth Proportional to 301,098.30, 451,895.91 and 151,381.14

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Solution

The fourth proportional to 301,098.30, 451,895.91 and 151,381.14 is: 227,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,098.30 : 451,895.91 = 151,381.14 : x
  2. Step 2: Convert to fraction form
    301,098.30/451,895.91 = 151,381.14/x
  3. Step 3: Cross multiply
    301,098.30x = 451,895.91 × 151,381.14
  4. Step 4: Simplify right side
    301,098.30x = 68,408,518,017.14
  5. Step 5: Solve for x
    x = 68,408,518,017.14/301,098.30
  6. Step 6: Final answer
    x = 227,196.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.