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Finding the Fourth Proportional to 120,129.87, 165,775.98 and 66,417.15

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Solution

The fourth proportional to 120,129.87, 165,775.98 and 66,417.15 is: 91,653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,129.87 : 165,775.98 = 66,417.15 : x
  2. Step 2: Convert to fraction form
    120,129.87/165,775.98 = 66,417.15/x
  3. Step 3: Cross multiply
    120,129.87x = 165,775.98 × 66,417.15
  4. Step 4: Simplify right side
    120,129.87x = 11,010,368,130.06
  5. Step 5: Solve for x
    x = 11,010,368,130.06/120,129.87
  6. Step 6: Final answer
    x = 91,653.88

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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.