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Finding the Fourth Proportional to 200,908.20, 301,362.30 and 156,568.13

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Solution

The fourth proportional to 200,908.20, 301,362.30 and 156,568.13 is: 234,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,908.20 : 301,362.30 = 156,568.13 : x
  2. Step 2: Convert to fraction form
    200,908.20/301,362.30 = 156,568.13/x
  3. Step 3: Cross multiply
    200,908.20x = 301,362.30 × 156,568.13
  4. Step 4: Simplify right side
    200,908.20x = 47,183,730,256.69
  5. Step 5: Solve for x
    x = 47,183,730,256.69/200,908.20
  6. Step 6: Final answer
    x = 234,852.19

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Why These Related Problems?

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