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Finding the Fourth Proportional to 114,596.70, 157,816.46 and 82,715.10

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Solution

The fourth proportional to 114,596.70, 157,816.46 and 82,715.10 is: 113,910.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,596.70 : 157,816.46 = 82,715.10 : x
  2. Step 2: Convert to fraction form
    114,596.70/157,816.46 = 82,715.10/x
  3. Step 3: Cross multiply
    114,596.70x = 157,816.46 × 82,715.10
  4. Step 4: Simplify right side
    114,596.70x = 13,053,803,885.52
  5. Step 5: Solve for x
    x = 13,053,803,885.52/114,596.70
  6. Step 6: Final answer
    x = 113,910.82

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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.