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Finding the Fourth Proportional to 114,196.56, 157,587.82 and 63,211.38

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Solution

The fourth proportional to 114,196.56, 157,587.82 and 63,211.38 is: 87,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,196.56 : 157,587.82 = 63,211.38 : x
  2. Step 2: Convert to fraction form
    114,196.56/157,587.82 = 63,211.38/x
  3. Step 3: Cross multiply
    114,196.56x = 157,587.82 × 63,211.38
  4. Step 4: Simplify right side
    114,196.56x = 9,961,343,573.39
  5. Step 5: Solve for x
    x = 9,961,343,573.39/114,196.56
  6. Step 6: Final answer
    x = 87,229.80

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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.