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Finding the Fourth Proportional to 114,349.97, 157,814.64 and 65,953.78

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Solution

The fourth proportional to 114,349.97, 157,814.64 and 65,953.78 is: 91,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,349.97 : 157,814.64 = 65,953.78 : x
  2. Step 2: Convert to fraction form
    114,349.97/157,814.64 = 65,953.78/x
  3. Step 3: Cross multiply
    114,349.97x = 157,814.64 × 65,953.78
  4. Step 4: Simplify right side
    114,349.97x = 10,408,471,652.80
  5. Step 5: Solve for x
    x = 10,408,471,652.80/114,349.97
  6. Step 6: Final answer
    x = 91,022.95

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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.