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Finding the Fourth Proportional to 114,135.96, 157,512.30 and 63,147.84

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Solution

The fourth proportional to 114,135.96, 157,512.30 and 63,147.84 is: 87,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,135.96 : 157,512.30 = 63,147.84 : x
  2. Step 2: Convert to fraction form
    114,135.96/157,512.30 = 63,147.84/x
  3. Step 3: Cross multiply
    114,135.96x = 157,512.30 × 63,147.84
  4. Step 4: Simplify right side
    114,135.96x = 9,946,561,518.43
  5. Step 5: Solve for x
    x = 9,946,561,518.43/114,135.96
  6. Step 6: Final answer
    x = 87,146.61

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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.