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Finding the Fourth Proportional to 166,115.16, 229,231.80 and 98,154

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Solution

The fourth proportional to 166,115.16, 229,231.80 and 98,154 is: 135,448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,115.16 : 229,231.80 = 98,154 : x
  2. Step 2: Convert to fraction form
    166,115.16/229,231.80 = 98,154/x
  3. Step 3: Cross multiply
    166,115.16x = 229,231.80 × 98,154
  4. Step 4: Simplify right side
    166,115.16x = 22,500,018,097.20
  5. Step 5: Solve for x
    x = 22,500,018,097.20/166,115.16
  6. Step 6: Final answer
    x = 135,448.31

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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.