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Finding the Fourth Proportional to 210,351.80, 290,297.30 and 114,867.40

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Solution

The fourth proportional to 210,351.80, 290,297.30 and 114,867.40 is: 158,523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,351.80 : 290,297.30 = 114,867.40 : x
  2. Step 2: Convert to fraction form
    210,351.80/290,297.30 = 114,867.40/x
  3. Step 3: Cross multiply
    210,351.80x = 290,297.30 × 114,867.40
  4. Step 4: Simplify right side
    210,351.80x = 33,345,696,078.02
  5. Step 5: Solve for x
    x = 33,345,696,078.02/210,351.80
  6. Step 6: Final answer
    x = 158,523.46

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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.