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Finding the Fourth Proportional to 114,898.28, 158,448.29 and 76,659.39

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Solution

The fourth proportional to 114,898.28, 158,448.29 and 76,659.39 is: 105,715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,898.28 : 158,448.29 = 76,659.39 : x
  2. Step 2: Convert to fraction form
    114,898.28/158,448.29 = 76,659.39/x
  3. Step 3: Cross multiply
    114,898.28x = 158,448.29 × 76,659.39
  4. Step 4: Simplify right side
    114,898.28x = 12,146,548,874.65
  5. Step 5: Solve for x
    x = 12,146,548,874.65/114,898.28
  6. Step 6: Final answer
    x = 105,715.68

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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.