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Finding the Fourth Proportional to 212,593.29, 293,642.06 and 154,357.13

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Solution

The fourth proportional to 212,593.29, 293,642.06 and 154,357.13 is: 213,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,593.29 : 293,642.06 = 154,357.13 : x
  2. Step 2: Convert to fraction form
    212,593.29/293,642.06 = 154,357.13/x
  3. Step 3: Cross multiply
    212,593.29x = 293,642.06 × 154,357.13
  4. Step 4: Simplify right side
    212,593.29x = 45,325,743,388.89
  5. Step 5: Solve for x
    x = 45,325,743,388.89/212,593.29
  6. Step 6: Final answer
    x = 213,204.02

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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.