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Finding the Fourth Proportional to 213,793.42, 320,783.14 and 134,014.22

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Solution

The fourth proportional to 213,793.42, 320,783.14 and 134,014.22 is: 201,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,793.42 : 320,783.14 = 134,014.22 : x
  2. Step 2: Convert to fraction form
    213,793.42/320,783.14 = 134,014.22/x
  3. Step 3: Cross multiply
    213,793.42x = 320,783.14 × 134,014.22
  4. Step 4: Simplify right side
    213,793.42x = 42,989,502,296.25
  5. Step 5: Solve for x
    x = 42,989,502,296.25/213,793.42
  6. Step 6: Final answer
    x = 201,079.63

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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.