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Finding the Fourth Proportional to 180,824.40, 270,977.40 and 133,066.80

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Solution

The fourth proportional to 180,824.40, 270,977.40 and 133,066.80 is: 199,409.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,824.40 : 270,977.40 = 133,066.80 : x
  2. Step 2: Convert to fraction form
    180,824.40/270,977.40 = 133,066.80/x
  3. Step 3: Cross multiply
    180,824.40x = 270,977.40 × 133,066.80
  4. Step 4: Simplify right side
    180,824.40x = 36,058,095,490.32
  5. Step 5: Solve for x
    x = 36,058,095,490.32/180,824.40
  6. Step 6: Final answer
    x = 199,409.46

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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.