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Finding the Fourth Proportional to 214,781.12, 320,725.12 and 175,416.32

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Solution

The fourth proportional to 214,781.12, 320,725.12 and 175,416.32 is: 261,943.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,781.12 : 320,725.12 = 175,416.32 : x
  2. Step 2: Convert to fraction form
    214,781.12/320,725.12 = 175,416.32/x
  3. Step 3: Cross multiply
    214,781.12x = 320,725.12 × 175,416.32
  4. Step 4: Simplify right side
    214,781.12x = 56,260,420,281.96
  5. Step 5: Solve for x
    x = 56,260,420,281.96/214,781.12
  6. Step 6: Final answer
    x = 261,943.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.