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Finding the Fourth Proportional to 186,342.81, 257,230.34 and 141,033.44

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Solution

The fourth proportional to 186,342.81, 257,230.34 and 141,033.44 is: 194,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,342.81 : 257,230.34 = 141,033.44 : x
  2. Step 2: Convert to fraction form
    186,342.81/257,230.34 = 141,033.44/x
  3. Step 3: Cross multiply
    186,342.81x = 257,230.34 × 141,033.44
  4. Step 4: Simplify right side
    186,342.81x = 36,278,077,731.25
  5. Step 5: Solve for x
    x = 36,278,077,731.25/186,342.81
  6. Step 6: Final answer
    x = 194,684.61

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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.