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Finding the Fourth Proportional to 120,157.32, 165,810.40 and 66,439.08

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Solution

The fourth proportional to 120,157.32, 165,810.40 and 66,439.08 is: 91,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,157.32 : 165,810.40 = 66,439.08 : x
  2. Step 2: Convert to fraction form
    120,157.32/165,810.40 = 66,439.08/x
  3. Step 3: Cross multiply
    120,157.32x = 165,810.40 × 66,439.08
  4. Step 4: Simplify right side
    120,157.32x = 11,016,290,430.43
  5. Step 5: Solve for x
    x = 11,016,290,430.43/120,157.32
  6. Step 6: Final answer
    x = 91,682.22

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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.