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Finding the Fourth Proportional to 269,169.42, 371,337.06 and 160,212.66

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Solution

The fourth proportional to 269,169.42, 371,337.06 and 160,212.66 is: 221,023.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,169.42 : 371,337.06 = 160,212.66 : x
  2. Step 2: Convert to fraction form
    269,169.42/371,337.06 = 160,212.66/x
  3. Step 3: Cross multiply
    269,169.42x = 371,337.06 × 160,212.66
  4. Step 4: Simplify right side
    269,169.42x = 59,492,898,139.18
  5. Step 5: Solve for x
    x = 59,492,898,139.18/269,169.42
  6. Step 6: Final answer
    x = 221,023.99

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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.