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Finding the Fourth Proportional to 98,201.60, 147,302.24 and 24,329.60

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Solution

The fourth proportional to 98,201.60, 147,302.24 and 24,329.60 is: 36,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,201.60 : 147,302.24 = 24,329.60 : x
  2. Step 2: Convert to fraction form
    98,201.60/147,302.24 = 24,329.60/x
  3. Step 3: Cross multiply
    98,201.60x = 147,302.24 × 24,329.60
  4. Step 4: Simplify right side
    98,201.60x = 3,583,804,578.30
  5. Step 5: Solve for x
    x = 3,583,804,578.30/98,201.60
  6. Step 6: Final answer
    x = 36,494.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.