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Finding the Fourth Proportional to 194,147.47, 291,291.29 and 67,806.32

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Solution

The fourth proportional to 194,147.47, 291,291.29 and 67,806.32 is: 101,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,147.47 : 291,291.29 = 67,806.32 : x
  2. Step 2: Convert to fraction form
    194,147.47/291,291.29 = 67,806.32/x
  3. Step 3: Cross multiply
    194,147.47x = 291,291.29 × 67,806.32
  4. Step 4: Simplify right side
    194,147.47x = 19,751,390,422.95
  5. Step 5: Solve for x
    x = 19,751,390,422.95/194,147.47
  6. Step 6: Final answer
    x = 101,733.96

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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.