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Finding the Fourth Proportional to 197,674.90, 296,509.73 and 47,916.54

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Solution

The fourth proportional to 197,674.90, 296,509.73 and 47,916.54 is: 71,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,674.90 : 296,509.73 = 47,916.54 : x
  2. Step 2: Convert to fraction form
    197,674.90/296,509.73 = 47,916.54/x
  3. Step 3: Cross multiply
    197,674.90x = 296,509.73 × 47,916.54
  4. Step 4: Simplify right side
    197,674.90x = 14,207,720,098.35
  5. Step 5: Solve for x
    x = 14,207,720,098.35/197,674.90
  6. Step 6: Final answer
    x = 71,874.17

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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.