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Finding the Fourth Proportional to 186,537.92, 257,414.83 and 101,653.16

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Solution

The fourth proportional to 186,537.92, 257,414.83 and 101,653.16 is: 140,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,537.92 : 257,414.83 = 101,653.16 : x
  2. Step 2: Convert to fraction form
    186,537.92/257,414.83 = 101,653.16/x
  3. Step 3: Cross multiply
    186,537.92x = 257,414.83 × 101,653.16
  4. Step 4: Simplify right side
    186,537.92x = 26,167,029,359.16
  5. Step 5: Solve for x
    x = 26,167,029,359.16/186,537.92
  6. Step 6: Final answer
    x = 140,277.27

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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.