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Finding the Fourth Proportional to 165,255.96, 228,054.78 and 98,175

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Solution

The fourth proportional to 165,255.96, 228,054.78 and 98,175 is: 135,482.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,255.96 : 228,054.78 = 98,175 : x
  2. Step 2: Convert to fraction form
    165,255.96/228,054.78 = 98,175/x
  3. Step 3: Cross multiply
    165,255.96x = 228,054.78 × 98,175
  4. Step 4: Simplify right side
    165,255.96x = 22,389,278,026.50
  5. Step 5: Solve for x
    x = 22,389,278,026.50/165,255.96
  6. Step 6: Final answer
    x = 135,482.42

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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.