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Finding the Fourth Proportional to 210,286.68, 290,184.52 and 114,774.84

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Solution

The fourth proportional to 210,286.68, 290,184.52 and 114,774.84 is: 158,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,286.68 : 290,184.52 = 114,774.84 : x
  2. Step 2: Convert to fraction form
    210,286.68/290,184.52 = 114,774.84/x
  3. Step 3: Cross multiply
    210,286.68x = 290,184.52 × 114,774.84
  4. Step 4: Simplify right side
    210,286.68x = 33,305,881,853.48
  5. Step 5: Solve for x
    x = 33,305,881,853.48/210,286.68
  6. Step 6: Final answer
    x = 158,383.22

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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.