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Finding the Fourth Proportional to 213,553.80, 320,330.70 and 135,016.20

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Solution

The fourth proportional to 213,553.80, 320,330.70 and 135,016.20 is: 202,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,553.80 : 320,330.70 = 135,016.20 : x
  2. Step 2: Convert to fraction form
    213,553.80/320,330.70 = 135,016.20/x
  3. Step 3: Cross multiply
    213,553.80x = 320,330.70 × 135,016.20
  4. Step 4: Simplify right side
    213,553.80x = 43,249,833,857.34
  5. Step 5: Solve for x
    x = 43,249,833,857.34/213,553.80
  6. Step 6: Final answer
    x = 202,524.30

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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.