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Finding the Fourth Proportional to 193,988.76, 291,054.21 and 81,697.24

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Solution

The fourth proportional to 193,988.76, 291,054.21 and 81,697.24 is: 122,575.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,988.76 : 291,054.21 = 81,697.24 : x
  2. Step 2: Convert to fraction form
    193,988.76/291,054.21 = 81,697.24/x
  3. Step 3: Cross multiply
    193,988.76x = 291,054.21 × 81,697.24
  4. Step 4: Simplify right side
    193,988.76x = 23,778,325,647.38
  5. Step 5: Solve for x
    x = 23,778,325,647.38/193,988.76
  6. Step 6: Final answer
    x = 122,575.79

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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.