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Finding the Fourth Proportional to 165,252.96, 228,050.64 and 98,172

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Solution

The fourth proportional to 165,252.96, 228,050.64 and 98,172 is: 135,478.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,252.96 : 228,050.64 = 98,172 : x
  2. Step 2: Convert to fraction form
    165,252.96/228,050.64 = 98,172/x
  3. Step 3: Cross multiply
    165,252.96x = 228,050.64 × 98,172
  4. Step 4: Simplify right side
    165,252.96x = 22,388,187,430.08
  5. Step 5: Solve for x
    x = 22,388,187,430.08/165,252.96
  6. Step 6: Final answer
    x = 135,478.28

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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.