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Finding the Fourth Proportional to 135,206.16, 202,842.42 and 46,460.92

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Solution

The fourth proportional to 135,206.16, 202,842.42 and 46,460.92 is: 69,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,206.16 : 202,842.42 = 46,460.92 : x
  2. Step 2: Convert to fraction form
    135,206.16/202,842.42 = 46,460.92/x
  3. Step 3: Cross multiply
    135,206.16x = 202,842.42 × 46,460.92
  4. Step 4: Simplify right side
    135,206.16x = 9,424,245,448.23
  5. Step 5: Solve for x
    x = 9,424,245,448.23/135,206.16
  6. Step 6: Final answer
    x = 69,702.78

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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.