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Finding the Fourth Proportional to 102,646.20, 153,969.30 and 74,433.90

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Solution

The fourth proportional to 102,646.20, 153,969.30 and 74,433.90 is: 111,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,646.20 : 153,969.30 = 74,433.90 : x
  2. Step 2: Convert to fraction form
    102,646.20/153,969.30 = 74,433.90/x
  3. Step 3: Cross multiply
    102,646.20x = 153,969.30 × 74,433.90
  4. Step 4: Simplify right side
    102,646.20x = 11,460,535,479.27
  5. Step 5: Solve for x
    x = 11,460,535,479.27/102,646.20
  6. Step 6: Final answer
    x = 111,650.85

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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.