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Finding the Fourth Proportional to 186,249.38, 257,024.14 and 101,367.05

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Solution

The fourth proportional to 186,249.38, 257,024.14 and 101,367.05 is: 139,886.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,249.38 : 257,024.14 = 101,367.05 : x
  2. Step 2: Convert to fraction form
    186,249.38/257,024.14 = 101,367.05/x
  3. Step 3: Cross multiply
    186,249.38x = 257,024.14 × 101,367.05
  4. Step 4: Simplify right side
    186,249.38x = 26,053,777,312.05
  5. Step 5: Solve for x
    x = 26,053,777,312.05/186,249.38
  6. Step 6: Final answer
    x = 139,886.52

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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.