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Finding the Fourth Proportional to 289,350.83, 399,293.14 and 162,020.05

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Solution

The fourth proportional to 289,350.83, 399,293.14 and 162,020.05 is: 223,581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,350.83 : 399,293.14 = 162,020.05 : x
  2. Step 2: Convert to fraction form
    289,350.83/399,293.14 = 162,020.05/x
  3. Step 3: Cross multiply
    289,350.83x = 399,293.14 × 162,020.05
  4. Step 4: Simplify right side
    289,350.83x = 64,693,494,507.46
  5. Step 5: Solve for x
    x = 64,693,494,507.46/289,350.83
  6. Step 6: Final answer
    x = 223,581.51

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Why These Related Problems?

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