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Finding the Fourth Proportional to 135,013.53, 202,549.01 and 46,243.20

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Solution

The fourth proportional to 135,013.53, 202,549.01 and 46,243.20 is: 69,374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,013.53 : 202,549.01 = 46,243.20 : x
  2. Step 2: Convert to fraction form
    135,013.53/202,549.01 = 46,243.20/x
  3. Step 3: Cross multiply
    135,013.53x = 202,549.01 × 46,243.20
  4. Step 4: Simplify right side
    135,013.53x = 9,366,514,907.57
  5. Step 5: Solve for x
    x = 9,366,514,907.57/135,013.53
  6. Step 6: Final answer
    x = 69,374.64

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Why These Related Problems?

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