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Finding the Fourth Proportional to 114,223, 157,605.87 and 73,931.17

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Solution

The fourth proportional to 114,223, 157,605.87 and 73,931.17 is: 102,010.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,223 : 157,605.87 = 73,931.17 : x
  2. Step 2: Convert to fraction form
    114,223/157,605.87 = 73,931.17/x
  3. Step 3: Cross multiply
    114,223x = 157,605.87 × 73,931.17
  4. Step 4: Simplify right side
    114,223x = 11,651,986,367.97
  5. Step 5: Solve for x
    x = 11,651,986,367.97/114,223
  6. Step 6: Final answer
    x = 102,010.86

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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.