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Finding the Fourth Proportional to 248,996, 373,497.24 and 82,784

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Solution

The fourth proportional to 248,996, 373,497.24 and 82,784 is: 124,177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,996 : 373,497.24 = 82,784 : x
  2. Step 2: Convert to fraction form
    248,996/373,497.24 = 82,784/x
  3. Step 3: Cross multiply
    248,996x = 373,497.24 × 82,784
  4. Step 4: Simplify right side
    248,996x = 30,919,595,516.16
  5. Step 5: Solve for x
    x = 30,919,595,516.16/248,996
  6. Step 6: Final answer
    x = 124,177.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.