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Finding the Fourth Proportional to 188,472.70, 260,094.33 and 102,431.68

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Solution

The fourth proportional to 188,472.70, 260,094.33 and 102,431.68 is: 141,356.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,472.70 : 260,094.33 = 102,431.68 : x
  2. Step 2: Convert to fraction form
    188,472.70/260,094.33 = 102,431.68/x
  3. Step 3: Cross multiply
    188,472.70x = 260,094.33 × 102,431.68
  4. Step 4: Simplify right side
    188,472.70x = 26,641,899,889.61
  5. Step 5: Solve for x
    x = 26,641,899,889.61/188,472.70
  6. Step 6: Final answer
    x = 141,356.81

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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.