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Finding the Fourth Proportional to 214,412.22, 295,695.24 and 133,847.19

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Solution

The fourth proportional to 214,412.22, 295,695.24 and 133,847.19 is: 184,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,412.22 : 295,695.24 = 133,847.19 : x
  2. Step 2: Convert to fraction form
    214,412.22/295,695.24 = 133,847.19/x
  3. Step 3: Cross multiply
    214,412.22x = 295,695.24 × 133,847.19
  4. Step 4: Simplify right side
    214,412.22x = 39,577,976,970.38
  5. Step 5: Solve for x
    x = 39,577,976,970.38/214,412.22
  6. Step 6: Final answer
    x = 184,588.25

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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.