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Finding the Fourth Proportional to 201,549.76, 302,335.22 and 51,791.03

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Solution

The fourth proportional to 201,549.76, 302,335.22 and 51,791.03 is: 77,689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,549.76 : 302,335.22 = 51,791.03 : x
  2. Step 2: Convert to fraction form
    201,549.76/302,335.22 = 51,791.03/x
  3. Step 3: Cross multiply
    201,549.76x = 302,335.22 × 51,791.03
  4. Step 4: Simplify right side
    201,549.76x = 15,658,252,449.08
  5. Step 5: Solve for x
    x = 15,658,252,449.08/201,549.76
  6. Step 6: Final answer
    x = 77,689.26

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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.