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Finding the Fourth Proportional to 309,462.95, 464,354.33 and 131,922.29

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Solution

The fourth proportional to 309,462.95, 464,354.33 and 131,922.29 is: 197,951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,462.95 : 464,354.33 = 131,922.29 : x
  2. Step 2: Convert to fraction form
    309,462.95/464,354.33 = 131,922.29/x
  3. Step 3: Cross multiply
    309,462.95x = 464,354.33 × 131,922.29
  4. Step 4: Simplify right side
    309,462.95x = 61,258,683,603.63
  5. Step 5: Solve for x
    x = 61,258,683,603.63/309,462.95
  6. Step 6: Final answer
    x = 197,951.60

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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.