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Finding the Fourth Proportional to 212,523.50, 293,282.52 and 117,029.90

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Solution

The fourth proportional to 212,523.50, 293,282.52 and 117,029.90 is: 161,501.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,523.50 : 293,282.52 = 117,029.90 : x
  2. Step 2: Convert to fraction form
    212,523.50/293,282.52 = 117,029.90/x
  3. Step 3: Cross multiply
    212,523.50x = 293,282.52 × 117,029.90
  4. Step 4: Simplify right side
    212,523.50x = 34,322,823,987.35
  5. Step 5: Solve for x
    x = 34,322,823,987.35/212,523.50
  6. Step 6: Final answer
    x = 161,501.31

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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.