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Finding the Fourth Proportional to 150,651.60, 207,899.16 and 83,583.60

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Solution

The fourth proportional to 150,651.60, 207,899.16 and 83,583.60 is: 115,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,651.60 : 207,899.16 = 83,583.60 : x
  2. Step 2: Convert to fraction form
    150,651.60/207,899.16 = 83,583.60/x
  3. Step 3: Cross multiply
    150,651.60x = 207,899.16 × 83,583.60
  4. Step 4: Simplify right side
    150,651.60x = 17,376,960,229.78
  5. Step 5: Solve for x
    x = 17,376,960,229.78/150,651.60
  6. Step 6: Final answer
    x = 115,345.34

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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.