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Finding the Fourth Proportional to 186,833.78, 257,828.19 and 101,949.38

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Solution

The fourth proportional to 186,833.78, 257,828.19 and 101,949.38 is: 140,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,833.78 : 257,828.19 = 101,949.38 : x
  2. Step 2: Convert to fraction form
    186,833.78/257,828.19 = 101,949.38/x
  3. Step 3: Cross multiply
    186,833.78x = 257,828.19 × 101,949.38
  4. Step 4: Simplify right side
    186,833.78x = 26,285,424,117.02
  5. Step 5: Solve for x
    x = 26,285,424,117.02/186,833.78
  6. Step 6: Final answer
    x = 140,688.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.