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Finding the Fourth Proportional to 186,234.46, 257,009.39 and 105,665.38

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Solution

The fourth proportional to 186,234.46, 257,009.39 and 105,665.38 is: 145,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,234.46 : 257,009.39 = 105,665.38 : x
  2. Step 2: Convert to fraction form
    186,234.46/257,009.39 = 105,665.38/x
  3. Step 3: Cross multiply
    186,234.46x = 257,009.39 × 105,665.38
  4. Step 4: Simplify right side
    186,234.46x = 27,156,994,329.59
  5. Step 5: Solve for x
    x = 27,156,994,329.59/186,234.46
  6. Step 6: Final answer
    x = 145,821.53

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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.