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Finding the Fourth Proportional to 186,273.56, 257,050.38 and 105,696.29

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Solution

The fourth proportional to 186,273.56, 257,050.38 and 105,696.29 is: 145,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,273.56 : 257,050.38 = 105,696.29 : x
  2. Step 2: Convert to fraction form
    186,273.56/257,050.38 = 105,696.29/x
  3. Step 3: Cross multiply
    186,273.56x = 257,050.38 × 105,696.29
  4. Step 4: Simplify right side
    186,273.56x = 27,169,270,223.84
  5. Step 5: Solve for x
    x = 27,169,270,223.84/186,273.56
  6. Step 6: Final answer
    x = 145,856.82

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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.