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Finding the Fourth Proportional to 186,587.78, 257,491.22 and 106,015.41

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Solution

The fourth proportional to 186,587.78, 257,491.22 and 106,015.41 is: 146,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,587.78 : 257,491.22 = 106,015.41 : x
  2. Step 2: Convert to fraction form
    186,587.78/257,491.22 = 106,015.41/x
  3. Step 3: Cross multiply
    186,587.78x = 257,491.22 × 106,015.41
  4. Step 4: Simplify right side
    186,587.78x = 27,298,036,729.62
  5. Step 5: Solve for x
    x = 27,298,036,729.62/186,587.78
  6. Step 6: Final answer
    x = 146,301.31

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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.