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Finding the Fourth Proportional to 186,447.82, 257,296.67 and 101,564.88

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Solution

The fourth proportional to 186,447.82, 257,296.67 and 101,564.88 is: 140,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,447.82 : 257,296.67 = 101,564.88 : x
  2. Step 2: Convert to fraction form
    186,447.82/257,296.67 = 101,564.88/x
  3. Step 3: Cross multiply
    186,447.82x = 257,296.67 × 101,564.88
  4. Step 4: Simplify right side
    186,447.82x = 26,132,305,412.95
  5. Step 5: Solve for x
    x = 26,132,305,412.95/186,447.82
  6. Step 6: Final answer
    x = 140,158.81

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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.