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Finding the Fourth Proportional to 214,219, 295,499.10 and 133,607.80

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Solution

The fourth proportional to 214,219, 295,499.10 and 133,607.80 is: 184,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,219 : 295,499.10 = 133,607.80 : x
  2. Step 2: Convert to fraction form
    214,219/295,499.10 = 133,607.80/x
  3. Step 3: Cross multiply
    214,219x = 295,499.10 × 133,607.80
  4. Step 4: Simplify right side
    214,219x = 39,480,984,652.98
  5. Step 5: Solve for x
    x = 39,480,984,652.98/214,219
  6. Step 6: Final answer
    x = 184,301.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.