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Finding the Fourth Proportional to 464,093.50, 696,256.90 and 131,669.50

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Solution

The fourth proportional to 464,093.50, 696,256.90 and 131,669.50 is: 197,537.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,093.50 : 696,256.90 = 131,669.50 : x
  2. Step 2: Convert to fraction form
    464,093.50/696,256.90 = 131,669.50/x
  3. Step 3: Cross multiply
    464,093.50x = 696,256.90 × 131,669.50
  4. Step 4: Simplify right side
    464,093.50x = 91,675,797,894.55
  5. Step 5: Solve for x
    x = 91,675,797,894.55/464,093.50
  6. Step 6: Final answer
    x = 197,537.35

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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.