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Finding the Fourth Proportional to 167,408.61, 250,899.36 and 78,466.14

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Solution

The fourth proportional to 167,408.61, 250,899.36 and 78,466.14 is: 117,599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,408.61 : 250,899.36 = 78,466.14 : x
  2. Step 2: Convert to fraction form
    167,408.61/250,899.36 = 78,466.14/x
  3. Step 3: Cross multiply
    167,408.61x = 250,899.36 × 78,466.14
  4. Step 4: Simplify right side
    167,408.61x = 19,687,104,307.67
  5. Step 5: Solve for x
    x = 19,687,104,307.67/167,408.61
  6. Step 6: Final answer
    x = 117,599.11

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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.