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Finding the Fourth Proportional to 157,604.33, 217,291.82 and 114,548.38

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Solution

The fourth proportional to 157,604.33, 217,291.82 and 114,548.38 is: 157,929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,604.33 : 217,291.82 = 114,548.38 : x
  2. Step 2: Convert to fraction form
    157,604.33/217,291.82 = 114,548.38/x
  3. Step 3: Cross multiply
    157,604.33x = 217,291.82 × 114,548.38
  4. Step 4: Simplify right side
    157,604.33x = 24,890,424,852.28
  5. Step 5: Solve for x
    x = 24,890,424,852.28/157,604.33
  6. Step 6: Final answer
    x = 157,929.83

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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.