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Finding the Fourth Proportional to 120,141.35, 165,788.40 and 66,423.16

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Solution

The fourth proportional to 120,141.35, 165,788.40 and 66,423.16 is: 91,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,141.35 : 165,788.40 = 66,423.16 : x
  2. Step 2: Convert to fraction form
    120,141.35/165,788.40 = 66,423.16/x
  3. Step 3: Cross multiply
    120,141.35x = 165,788.40 × 66,423.16
  4. Step 4: Simplify right side
    120,141.35x = 11,012,189,419.34
  5. Step 5: Solve for x
    x = 11,012,189,419.34/120,141.35
  6. Step 6: Final answer
    x = 91,660.28

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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.