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Finding the Fourth Proportional to 150,574.92, 207,795.48 and 82,598.40

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Solution

The fourth proportional to 150,574.92, 207,795.48 and 82,598.40 is: 113,986.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,574.92 : 207,795.48 = 82,598.40 : x
  2. Step 2: Convert to fraction form
    150,574.92/207,795.48 = 82,598.40/x
  3. Step 3: Cross multiply
    150,574.92x = 207,795.48 × 82,598.40
  4. Step 4: Simplify right side
    150,574.92x = 17,163,574,175.23
  5. Step 5: Solve for x
    x = 17,163,574,175.23/150,574.92
  6. Step 6: Final answer
    x = 113,986.94

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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.