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Finding the Fourth Proportional to 196,044.84, 270,909.63 and 160,221.78

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Solution

The fourth proportional to 196,044.84, 270,909.63 and 160,221.78 is: 221,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,044.84 : 270,909.63 = 160,221.78 : x
  2. Step 2: Convert to fraction form
    196,044.84/270,909.63 = 160,221.78/x
  3. Step 3: Cross multiply
    196,044.84x = 270,909.63 × 160,221.78
  4. Step 4: Simplify right side
    196,044.84x = 43,405,623,137.74
  5. Step 5: Solve for x
    x = 43,405,623,137.74/196,044.84
  6. Step 6: Final answer
    x = 221,406.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.