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Finding the Fourth Proportional to 177,792.60, 266,688.90 and 133,728.60

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Solution

The fourth proportional to 177,792.60, 266,688.90 and 133,728.60 is: 200,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,792.60 : 266,688.90 = 133,728.60 : x
  2. Step 2: Convert to fraction form
    177,792.60/266,688.90 = 133,728.60/x
  3. Step 3: Cross multiply
    177,792.60x = 266,688.90 × 133,728.60
  4. Step 4: Simplify right side
    177,792.60x = 35,663,933,232.54
  5. Step 5: Solve for x
    x = 35,663,933,232.54/177,792.60
  6. Step 6: Final answer
    x = 200,592.90

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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.