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Finding the Fourth Proportional to 186,324.71, 257,018.87 and 131,815.89

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Solution

The fourth proportional to 186,324.71, 257,018.87 and 131,815.89 is: 181,828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,324.71 : 257,018.87 = 131,815.89 : x
  2. Step 2: Convert to fraction form
    186,324.71/257,018.87 = 131,815.89/x
  3. Step 3: Cross multiply
    186,324.71x = 257,018.87 × 131,815.89
  4. Step 4: Simplify right side
    186,324.71x = 33,879,171,425.38
  5. Step 5: Solve for x
    x = 33,879,171,425.38/186,324.71
  6. Step 6: Final answer
    x = 181,828.66

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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.