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Finding the Fourth Proportional to 228,446, 315,211.74 and 147,862.34

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Solution

The fourth proportional to 228,446, 315,211.74 and 147,862.34 is: 204,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,446 : 315,211.74 = 147,862.34 : x
  2. Step 2: Convert to fraction form
    228,446/315,211.74 = 147,862.34/x
  3. Step 3: Cross multiply
    228,446x = 315,211.74 × 147,862.34
  4. Step 4: Simplify right side
    228,446x = 46,607,945,471.87
  5. Step 5: Solve for x
    x = 46,607,945,471.87/228,446
  6. Step 6: Final answer
    x = 204,021.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.