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Finding the Fourth Proportional to 201,724.80, 290,856.96 and 201,724.80

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Solution

The fourth proportional to 201,724.80, 290,856.96 and 201,724.80 is: 290,856.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,724.80 : 290,856.96 = 201,724.80 : x
  2. Step 2: Convert to fraction form
    201,724.80/290,856.96 = 201,724.80/x
  3. Step 3: Cross multiply
    201,724.80x = 290,856.96 × 201,724.80
  4. Step 4: Simplify right side
    201,724.80x = 58,673,062,084.61
  5. Step 5: Solve for x
    x = 58,673,062,084.61/201,724.80
  6. Step 6: Final answer
    x = 290,856.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.