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Finding the Fourth Proportional to 120,130.66, 165,752.74 and 71,723.15

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Solution

The fourth proportional to 120,130.66, 165,752.74 and 71,723.15 is: 98,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,130.66 : 165,752.74 = 71,723.15 : x
  2. Step 2: Convert to fraction form
    120,130.66/165,752.74 = 71,723.15/x
  3. Step 3: Cross multiply
    120,130.66x = 165,752.74 × 71,723.15
  4. Step 4: Simplify right side
    120,130.66x = 11,888,308,633.93
  5. Step 5: Solve for x
    x = 11,888,308,633.93/120,130.66
  6. Step 6: Final answer
    x = 98,961.49

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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.