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Finding the Fourth Proportional to 186,753.69, 257,741.60 and 103,976.01

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Solution

The fourth proportional to 186,753.69, 257,741.60 and 103,976.01 is: 143,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,753.69 : 257,741.60 = 103,976.01 : x
  2. Step 2: Convert to fraction form
    186,753.69/257,741.60 = 103,976.01/x
  3. Step 3: Cross multiply
    186,753.69x = 257,741.60 × 103,976.01
  4. Step 4: Simplify right side
    186,753.69x = 26,798,942,659.14
  5. Step 5: Solve for x
    x = 26,798,942,659.14/186,753.69
  6. Step 6: Final answer
    x = 143,498.87

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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.