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Finding the Fourth Proportional to 196,403.32, 294,734.13 and 107,719.07

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Solution

The fourth proportional to 196,403.32, 294,734.13 and 107,719.07 is: 161,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,403.32 : 294,734.13 = 107,719.07 : x
  2. Step 2: Convert to fraction form
    196,403.32/294,734.13 = 107,719.07/x
  3. Step 3: Cross multiply
    196,403.32x = 294,734.13 × 107,719.07
  4. Step 4: Simplify right side
    196,403.32x = 31,748,485,842.26
  5. Step 5: Solve for x
    x = 31,748,485,842.26/196,403.32
  6. Step 6: Final answer
    x = 161,649.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.