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Finding the Fourth Proportional to 217,384.92, 326,078.46 and 98,973.42

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Solution

The fourth proportional to 217,384.92, 326,078.46 and 98,973.42 is: 148,460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,384.92 : 326,078.46 = 98,973.42 : x
  2. Step 2: Convert to fraction form
    217,384.92/326,078.46 = 98,973.42/x
  3. Step 3: Cross multiply
    217,384.92x = 326,078.46 × 98,973.42
  4. Step 4: Simplify right side
    217,384.92x = 32,273,100,374.53
  5. Step 5: Solve for x
    x = 32,273,100,374.53/217,384.92
  6. Step 6: Final answer
    x = 148,460.62

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1.5x scale

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.