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Finding the Fourth Proportional to 210,306.46, 290,221.44 and 114,813.16

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Solution

The fourth proportional to 210,306.46, 290,221.44 and 114,813.16 is: 158,441.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,306.46 : 290,221.44 = 114,813.16 : x
  2. Step 2: Convert to fraction form
    210,306.46/290,221.44 = 114,813.16/x
  3. Step 3: Cross multiply
    210,306.46x = 290,221.44 × 114,813.16
  4. Step 4: Simplify right side
    210,306.46x = 33,321,240,626.15
  5. Step 5: Solve for x
    x = 33,321,240,626.15/210,306.46
  6. Step 6: Final answer
    x = 158,441.36

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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.