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Finding the Fourth Proportional to 114,062.82, 157,407.70 and 63,078.97

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Solution

The fourth proportional to 114,062.82, 157,407.70 and 63,078.97 is: 87,049.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,062.82 : 157,407.70 = 63,078.97 : x
  2. Step 2: Convert to fraction form
    114,062.82/157,407.70 = 63,078.97/x
  3. Step 3: Cross multiply
    114,062.82x = 157,407.70 × 63,078.97
  4. Step 4: Simplify right side
    114,062.82x = 9,929,115,586.07
  5. Step 5: Solve for x
    x = 9,929,115,586.07/114,062.82
  6. Step 6: Final answer
    x = 87,049.54

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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.