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Finding the Fourth Proportional to 289,228.20, 399,129.90 and 160,164.11

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Solution

The fourth proportional to 289,228.20, 399,129.90 and 160,164.11 is: 221,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,228.20 : 399,129.90 = 160,164.11 : x
  2. Step 2: Convert to fraction form
    289,228.20/399,129.90 = 160,164.11/x
  3. Step 3: Cross multiply
    289,228.20x = 399,129.90 × 160,164.11
  4. Step 4: Simplify right side
    289,228.20x = 63,926,285,207.89
  5. Step 5: Solve for x
    x = 63,926,285,207.89/289,228.20
  6. Step 6: Final answer
    x = 221,023.69

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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.