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Finding the Fourth Proportional to 186,138.38, 256,870.77 and 101,255.24

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Solution

The fourth proportional to 186,138.38, 256,870.77 and 101,255.24 is: 139,732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,138.38 : 256,870.77 = 101,255.24 : x
  2. Step 2: Convert to fraction form
    186,138.38/256,870.77 = 101,255.24/x
  3. Step 3: Cross multiply
    186,138.38x = 256,870.77 × 101,255.24
  4. Step 4: Simplify right side
    186,138.38x = 26,009,511,465.33
  5. Step 5: Solve for x
    x = 26,009,511,465.33/186,138.38
  6. Step 6: Final answer
    x = 139,732.13

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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.