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Finding the Fourth Proportional to 135,101.24, 202,656 and 46,353.52

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Solution

The fourth proportional to 135,101.24, 202,656 and 46,353.52 is: 69,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,101.24 : 202,656 = 46,353.52 : x
  2. Step 2: Convert to fraction form
    135,101.24/202,656 = 46,353.52/x
  3. Step 3: Cross multiply
    135,101.24x = 202,656 × 46,353.52
  4. Step 4: Simplify right side
    135,101.24x = 9,393,818,949.12
  5. Step 5: Solve for x
    x = 9,393,818,949.12/135,101.24
  6. Step 6: Final answer
    x = 69,531.70

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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.