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Finding the Fourth Proportional to 214,305.68, 295,748.85 and 118,821.26

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Solution

The fourth proportional to 214,305.68, 295,748.85 and 118,821.26 is: 163,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,305.68 : 295,748.85 = 118,821.26 : x
  2. Step 2: Convert to fraction form
    214,305.68/295,748.85 = 118,821.26/x
  3. Step 3: Cross multiply
    214,305.68x = 295,748.85 × 118,821.26
  4. Step 4: Simplify right side
    214,305.68x = 35,141,251,000.55
  5. Step 5: Solve for x
    x = 35,141,251,000.55/214,305.68
  6. Step 6: Final answer
    x = 163,977.23

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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.