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Finding the Fourth Proportional to 217,688.50, 326,532.75 and 77,447.53

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Solution

The fourth proportional to 217,688.50, 326,532.75 and 77,447.53 is: 116,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,688.50 : 326,532.75 = 77,447.53 : x
  2. Step 2: Convert to fraction form
    217,688.50/326,532.75 = 77,447.53/x
  3. Step 3: Cross multiply
    217,688.50x = 326,532.75 × 77,447.53
  4. Step 4: Simplify right side
    217,688.50x = 25,289,154,951.61
  5. Step 5: Solve for x
    x = 25,289,154,951.61/217,688.50
  6. Step 6: Final answer
    x = 116,171.30

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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.