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Finding the Fourth Proportional to 202,986.98, 304,397.22 and 60,782.16

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Solution

The fourth proportional to 202,986.98, 304,397.22 and 60,782.16 is: 91,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,986.98 : 304,397.22 = 60,782.16 : x
  2. Step 2: Convert to fraction form
    202,986.98/304,397.22 = 60,782.16/x
  3. Step 3: Cross multiply
    202,986.98x = 304,397.22 × 60,782.16
  4. Step 4: Simplify right side
    202,986.98x = 18,501,920,529.60
  5. Step 5: Solve for x
    x = 18,501,920,529.60/202,986.98
  6. Step 6: Final answer
    x = 91,148.31

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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.