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Finding the Fourth Proportional to 213,645.80, 320,468.70 and 101,325.80

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Solution

The fourth proportional to 213,645.80, 320,468.70 and 101,325.80 is: 151,988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,645.80 : 320,468.70 = 101,325.80 : x
  2. Step 2: Convert to fraction form
    213,645.80/320,468.70 = 101,325.80/x
  3. Step 3: Cross multiply
    213,645.80x = 320,468.70 × 101,325.80
  4. Step 4: Simplify right side
    213,645.80x = 32,471,747,402.46
  5. Step 5: Solve for x
    x = 32,471,747,402.46/213,645.80
  6. Step 6: Final answer
    x = 151,988.70

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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.