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Finding the Fourth Proportional to 165,381.96, 228,199.42 and 97,412.48

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Solution

The fourth proportional to 165,381.96, 228,199.42 and 97,412.48 is: 134,412.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,381.96 : 228,199.42 = 97,412.48 : x
  2. Step 2: Convert to fraction form
    165,381.96/228,199.42 = 97,412.48/x
  3. Step 3: Cross multiply
    165,381.96x = 228,199.42 × 97,412.48
  4. Step 4: Simplify right side
    165,381.96x = 22,229,471,436.76
  5. Step 5: Solve for x
    x = 22,229,471,436.76/165,381.96
  6. Step 6: Final answer
    x = 134,412.92

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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.