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Finding the Fourth Proportional to 120,201.12, 165,916.98 and 84,400.02

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Solution

The fourth proportional to 120,201.12, 165,916.98 and 84,400.02 is: 116,499.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,201.12 : 165,916.98 = 84,400.02 : x
  2. Step 2: Convert to fraction form
    120,201.12/165,916.98 = 84,400.02/x
  3. Step 3: Cross multiply
    120,201.12x = 165,916.98 × 84,400.02
  4. Step 4: Simplify right side
    120,201.12x = 14,003,396,430.34
  5. Step 5: Solve for x
    x = 14,003,396,430.34/120,201.12
  6. Step 6: Final answer
    x = 116,499.72

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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.