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Finding the Fourth Proportional to 117,566.27, 176,576.31 and 100,737.31

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Solution

The fourth proportional to 117,566.27, 176,576.31 and 100,737.31 is: 151,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,566.27 : 176,576.31 = 100,737.31 : x
  2. Step 2: Convert to fraction form
    117,566.27/176,576.31 = 100,737.31/x
  3. Step 3: Cross multiply
    117,566.27x = 176,576.31 × 100,737.31
  4. Step 4: Simplify right side
    117,566.27x = 17,787,822,479.13
  5. Step 5: Solve for x
    x = 17,787,822,479.13/117,566.27
  6. Step 6: Final answer
    x = 151,300.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.