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Finding the Fourth Proportional to 150,599.10, 207,823.14 and 82,615.47

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Solution

The fourth proportional to 150,599.10, 207,823.14 and 82,615.47 is: 114,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,599.10 : 207,823.14 = 82,615.47 : x
  2. Step 2: Convert to fraction form
    150,599.10/207,823.14 = 82,615.47/x
  3. Step 3: Cross multiply
    150,599.10x = 207,823.14 × 82,615.47
  4. Step 4: Simplify right side
    150,599.10x = 17,169,406,387.98
  5. Step 5: Solve for x
    x = 17,169,406,387.98/150,599.10
  6. Step 6: Final answer
    x = 114,007.36

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1.5x scale

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.