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Finding the Fourth Proportional to 186,764.82, 257,735.12 and 101,881.86

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Solution

The fourth proportional to 186,764.82, 257,735.12 and 101,881.86 is: 140,596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,764.82 : 257,735.12 = 101,881.86 : x
  2. Step 2: Convert to fraction form
    186,764.82/257,735.12 = 101,881.86/x
  3. Step 3: Cross multiply
    186,764.82x = 257,735.12 × 101,881.86
  4. Step 4: Simplify right side
    186,764.82x = 26,258,533,412.92
  5. Step 5: Solve for x
    x = 26,258,533,412.92/186,764.82
  6. Step 6: Final answer
    x = 140,596.79

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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.