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Finding the Fourth Proportional to 150,606.87, 207,834.39 and 83,538.87

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Solution

The fourth proportional to 150,606.87, 207,834.39 and 83,538.87 is: 115,281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,606.87 : 207,834.39 = 83,538.87 : x
  2. Step 2: Convert to fraction form
    150,606.87/207,834.39 = 83,538.87/x
  3. Step 3: Cross multiply
    150,606.87x = 207,834.39 × 83,538.87
  4. Step 4: Simplify right side
    150,606.87x = 17,362,250,087.74
  5. Step 5: Solve for x
    x = 17,362,250,087.74/150,606.87
  6. Step 6: Final answer
    x = 115,281.93

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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.