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Finding the Fourth Proportional to 186,584.82, 257,493.99 and 106,026

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Solution

The fourth proportional to 186,584.82, 257,493.99 and 106,026 is: 146,319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,584.82 : 257,493.99 = 106,026 : x
  2. Step 2: Convert to fraction form
    186,584.82/257,493.99 = 106,026/x
  3. Step 3: Cross multiply
    186,584.82x = 257,493.99 × 106,026
  4. Step 4: Simplify right side
    186,584.82x = 27,301,057,783.74
  5. Step 5: Solve for x
    x = 27,301,057,783.74/186,584.82
  6. Step 6: Final answer
    x = 146,319.82

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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.