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Finding the Fourth Proportional to 186,810.38, 257,798.17 and 101,927.44

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Solution

The fourth proportional to 186,810.38, 257,798.17 and 101,927.44 is: 140,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,810.38 : 257,798.17 = 101,927.44 : x
  2. Step 2: Convert to fraction form
    186,810.38/257,798.17 = 101,927.44/x
  3. Step 3: Cross multiply
    186,810.38x = 257,798.17 × 101,927.44
  4. Step 4: Simplify right side
    186,810.38x = 26,276,706,942.71
  5. Step 5: Solve for x
    x = 26,276,706,942.71/186,810.38
  6. Step 6: Final answer
    x = 140,659.78

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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.