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Finding the Fourth Proportional to 210,198.60, 290,071.68 and 114,706.92

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Solution

The fourth proportional to 210,198.60, 290,071.68 and 114,706.92 is: 158,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,198.60 : 290,071.68 = 114,706.92 : x
  2. Step 2: Convert to fraction form
    210,198.60/290,071.68 = 114,706.92/x
  3. Step 3: Cross multiply
    210,198.60x = 290,071.68 × 114,706.92
  4. Step 4: Simplify right side
    210,198.60x = 33,273,228,992.03
  5. Step 5: Solve for x
    x = 33,273,228,992.03/210,198.60
  6. Step 6: Final answer
    x = 158,294.25

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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.