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Finding the Fourth Proportional to 165,823.20, 228,808.80 and 102,157.20

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Solution

The fourth proportional to 165,823.20, 228,808.80 and 102,157.20 is: 140,960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,823.20 : 228,808.80 = 102,157.20 : x
  2. Step 2: Convert to fraction form
    165,823.20/228,808.80 = 102,157.20/x
  3. Step 3: Cross multiply
    165,823.20x = 228,808.80 × 102,157.20
  4. Step 4: Simplify right side
    165,823.20x = 23,374,466,343.36
  5. Step 5: Solve for x
    x = 23,374,466,343.36/165,823.20
  6. Step 6: Final answer
    x = 140,960.17

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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.