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Finding the Fourth Proportional to 149,097.60, 205,754.40 and 85,435.20

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Solution

The fourth proportional to 149,097.60, 205,754.40 and 85,435.20 is: 117,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,097.60 : 205,754.40 = 85,435.20 : x
  2. Step 2: Convert to fraction form
    149,097.60/205,754.40 = 85,435.20/x
  3. Step 3: Cross multiply
    149,097.60x = 205,754.40 × 85,435.20
  4. Step 4: Simplify right side
    149,097.60x = 17,578,668,314.88
  5. Step 5: Solve for x
    x = 17,578,668,314.88/149,097.60
  6. Step 6: Final answer
    x = 117,900.41

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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.