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Finding the Fourth Proportional to 114,151.86, 157,524.01 and 63,163.67

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Solution

The fourth proportional to 114,151.86, 157,524.01 and 63,163.67 is: 87,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,151.86 : 157,524.01 = 63,163.67 : x
  2. Step 2: Convert to fraction form
    114,151.86/157,524.01 = 63,163.67/x
  3. Step 3: Cross multiply
    114,151.86x = 157,524.01 × 63,163.67
  4. Step 4: Simplify right side
    114,151.86x = 9,949,793,639.19
  5. Step 5: Solve for x
    x = 9,949,793,639.19/114,151.86
  6. Step 6: Final answer
    x = 87,162.78

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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.