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Finding the Fourth Proportional to 186,340.36, 257,151.54 and 106,837

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Solution

The fourth proportional to 186,340.36, 257,151.54 and 106,837 is: 147,436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,340.36 : 257,151.54 = 106,837 : x
  2. Step 2: Convert to fraction form
    186,340.36/257,151.54 = 106,837/x
  3. Step 3: Cross multiply
    186,340.36x = 257,151.54 × 106,837
  4. Step 4: Simplify right side
    186,340.36x = 27,473,299,078.98
  5. Step 5: Solve for x
    x = 27,473,299,078.98/186,340.36
  6. Step 6: Final answer
    x = 147,436.12

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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.