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Finding the Fourth Proportional to 115,711.83, 159,636.69 and 72,666

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Solution

The fourth proportional to 115,711.83, 159,636.69 and 72,666 is: 100,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,711.83 : 159,636.69 = 72,666 : x
  2. Step 2: Convert to fraction form
    115,711.83/159,636.69 = 72,666/x
  3. Step 3: Cross multiply
    115,711.83x = 159,636.69 × 72,666
  4. Step 4: Simplify right side
    115,711.83x = 11,600,159,715.54
  5. Step 5: Solve for x
    x = 11,600,159,715.54/115,711.83
  6. Step 6: Final answer
    x = 100,250.42

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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.