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Finding the Fourth Proportional to 217,435.20, 326,152.80 and 201,688.80

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Solution

The fourth proportional to 217,435.20, 326,152.80 and 201,688.80 is: 302,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,435.20 : 326,152.80 = 201,688.80 : x
  2. Step 2: Convert to fraction form
    217,435.20/326,152.80 = 201,688.80/x
  3. Step 3: Cross multiply
    217,435.20x = 326,152.80 × 201,688.80
  4. Step 4: Simplify right side
    217,435.20x = 65,781,366,848.64
  5. Step 5: Solve for x
    x = 65,781,366,848.64/217,435.20
  6. Step 6: Final answer
    x = 302,533.20

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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.