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Finding the Fourth Proportional to 147,175.47, 220,796.11 and 53,681.22

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Solution

The fourth proportional to 147,175.47, 220,796.11 and 53,681.22 is: 80,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,175.47 : 220,796.11 = 53,681.22 : x
  2. Step 2: Convert to fraction form
    147,175.47/220,796.11 = 53,681.22/x
  3. Step 3: Cross multiply
    147,175.47x = 220,796.11 × 53,681.22
  4. Step 4: Simplify right side
    147,175.47x = 11,852,604,556.05
  5. Step 5: Solve for x
    x = 11,852,604,556.05/147,175.47
  6. Step 6: Final answer
    x = 80,533.83

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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.