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Finding the Fourth Proportional to 214,051.48, 295,279.06 and 132,353.64

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Solution

The fourth proportional to 214,051.48, 295,279.06 and 132,353.64 is: 182,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,051.48 : 295,279.06 = 132,353.64 : x
  2. Step 2: Convert to fraction form
    214,051.48/295,279.06 = 132,353.64/x
  3. Step 3: Cross multiply
    214,051.48x = 295,279.06 × 132,353.64
  4. Step 4: Simplify right side
    214,051.48x = 39,081,258,406.78
  5. Step 5: Solve for x
    x = 39,081,258,406.78/214,051.48
  6. Step 6: Final answer
    x = 182,578.78

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