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Finding the Fourth Proportional to 213,604.80, 320,061.60 and 134,577.60

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Solution

The fourth proportional to 213,604.80, 320,061.60 and 134,577.60 is: 201,648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,604.80 : 320,061.60 = 134,577.60 : x
  2. Step 2: Convert to fraction form
    213,604.80/320,061.60 = 134,577.60/x
  3. Step 3: Cross multiply
    213,604.80x = 320,061.60 × 134,577.60
  4. Step 4: Simplify right side
    213,604.80x = 43,073,121,980.16
  5. Step 5: Solve for x
    x = 43,073,121,980.16/213,604.80
  6. Step 6: Final answer
    x = 201,648.66

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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.