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Finding the Fourth Proportional to 214,266.12, 295,684.92 and 123,621

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Solution

The fourth proportional to 214,266.12, 295,684.92 and 123,621 is: 170,595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,266.12 : 295,684.92 = 123,621 : x
  2. Step 2: Convert to fraction form
    214,266.12/295,684.92 = 123,621/x
  3. Step 3: Cross multiply
    214,266.12x = 295,684.92 × 123,621
  4. Step 4: Simplify right side
    214,266.12x = 36,552,865,495.32
  5. Step 5: Solve for x
    x = 36,552,865,495.32/214,266.12
  6. Step 6: Final answer
    x = 170,595.64

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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.