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Finding the Fourth Proportional to 228,445.89, 315,211.56 and 147,862.23

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Solution

The fourth proportional to 228,445.89, 315,211.56 and 147,862.23 is: 204,021.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,445.89 : 315,211.56 = 147,862.23 : x
  2. Step 2: Convert to fraction form
    228,445.89/315,211.56 = 147,862.23/x
  3. Step 3: Cross multiply
    228,445.89x = 315,211.56 × 147,862.23
  4. Step 4: Simplify right side
    228,445.89x = 46,607,884,183.38
  5. Step 5: Solve for x
    x = 46,607,884,183.38/228,445.89
  6. Step 6: Final answer
    x = 204,021.55

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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.