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Finding the Fourth Proportional to 213,713.64, 320,614.20 and 73,454.04

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Solution

The fourth proportional to 213,713.64, 320,614.20 and 73,454.04 is: 110,196.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,713.64 : 320,614.20 = 73,454.04 : x
  2. Step 2: Convert to fraction form
    213,713.64/320,614.20 = 73,454.04/x
  3. Step 3: Cross multiply
    213,713.64x = 320,614.20 × 73,454.04
  4. Step 4: Simplify right side
    213,713.64x = 23,550,408,271.37
  5. Step 5: Solve for x
    x = 23,550,408,271.37/213,713.64
  6. Step 6: Final answer
    x = 110,196.09

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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.