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Finding the Fourth Proportional to 135,125.92, 202,693 and 46,378.16

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Solution

The fourth proportional to 135,125.92, 202,693 and 46,378.16 is: 69,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,125.92 : 202,693 = 46,378.16 : x
  2. Step 2: Convert to fraction form
    135,125.92/202,693 = 46,378.16/x
  3. Step 3: Cross multiply
    135,125.92x = 202,693 × 46,378.16
  4. Step 4: Simplify right side
    135,125.92x = 9,400,528,384.88
  5. Step 5: Solve for x
    x = 9,400,528,384.88/135,125.92
  6. Step 6: Final answer
    x = 69,568.65

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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.