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Finding the Fourth Proportional to 150,478.72, 207,660 and 83,410.72

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Solution

The fourth proportional to 150,478.72, 207,660 and 83,410.72 is: 115,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,478.72 : 207,660 = 83,410.72 : x
  2. Step 2: Convert to fraction form
    150,478.72/207,660 = 83,410.72/x
  3. Step 3: Cross multiply
    150,478.72x = 207,660 × 83,410.72
  4. Step 4: Simplify right side
    150,478.72x = 17,321,070,115.20
  5. Step 5: Solve for x
    x = 17,321,070,115.20/150,478.72
  6. Step 6: Final answer
    x = 115,106.44

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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.