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Finding the Fourth Proportional to 186,401.66, 257,237.25 and 105,827.54

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Solution

The fourth proportional to 186,401.66, 257,237.25 and 105,827.54 is: 146,043.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,401.66 : 257,237.25 = 105,827.54 : x
  2. Step 2: Convert to fraction form
    186,401.66/257,237.25 = 105,827.54/x
  3. Step 3: Cross multiply
    186,401.66x = 257,237.25 × 105,827.54
  4. Step 4: Simplify right side
    186,401.66x = 27,222,785,363.87
  5. Step 5: Solve for x
    x = 27,222,785,363.87/186,401.66
  6. Step 6: Final answer
    x = 146,043.69

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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.