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Finding the Fourth Proportional to 150,497.96, 207,689.52 and 82,521.14

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Solution

The fourth proportional to 150,497.96, 207,689.52 and 82,521.14 is: 113,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,497.96 : 207,689.52 = 82,521.14 : x
  2. Step 2: Convert to fraction form
    150,497.96/207,689.52 = 82,521.14/x
  3. Step 3: Cross multiply
    150,497.96x = 207,689.52 × 82,521.14
  4. Step 4: Simplify right side
    150,497.96x = 17,138,775,956.45
  5. Step 5: Solve for x
    x = 17,138,775,956.45/150,497.96
  6. Step 6: Final answer
    x = 113,880.45

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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.