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Finding the Fourth Proportional to 120,204.48, 165,916.80 and 84,403.20

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Solution

The fourth proportional to 120,204.48, 165,916.80 and 84,403.20 is: 116,500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,204.48 : 165,916.80 = 84,403.20 : x
  2. Step 2: Convert to fraction form
    120,204.48/165,916.80 = 84,403.20/x
  3. Step 3: Cross multiply
    120,204.48x = 165,916.80 × 84,403.20
  4. Step 4: Simplify right side
    120,204.48x = 14,003,908,853.76
  5. Step 5: Solve for x
    x = 14,003,908,853.76/120,204.48
  6. Step 6: Final answer
    x = 116,500.72

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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.