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Finding the Fourth Proportional to 210,211.39, 290,097.84 and 114,724.27

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Solution

The fourth proportional to 210,211.39, 290,097.84 and 114,724.27 is: 158,322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,211.39 : 290,097.84 = 114,724.27 : x
  2. Step 2: Convert to fraction form
    210,211.39/290,097.84 = 114,724.27/x
  3. Step 3: Cross multiply
    210,211.39x = 290,097.84 × 114,724.27
  4. Step 4: Simplify right side
    210,211.39x = 33,281,262,922.58
  5. Step 5: Solve for x
    x = 33,281,262,922.58/210,211.39
  6. Step 6: Final answer
    x = 158,322.83

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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.