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Finding the Fourth Proportional to 212,728.80, 318,747.60 and 133,701.60

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Solution

The fourth proportional to 212,728.80, 318,747.60 and 133,701.60 is: 200,335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,728.80 : 318,747.60 = 133,701.60 : x
  2. Step 2: Convert to fraction form
    212,728.80/318,747.60 = 133,701.60/x
  3. Step 3: Cross multiply
    212,728.80x = 318,747.60 × 133,701.60
  4. Step 4: Simplify right side
    212,728.80x = 42,617,064,116.16
  5. Step 5: Solve for x
    x = 42,617,064,116.16/212,728.80
  6. Step 6: Final answer
    x = 200,335.19

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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.