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Finding the Fourth Proportional to 200,212.30, 299,881.05 and 155,488.15

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Solution

The fourth proportional to 200,212.30, 299,881.05 and 155,488.15 is: 232,892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,212.30 : 299,881.05 = 155,488.15 : x
  2. Step 2: Convert to fraction form
    200,212.30/299,881.05 = 155,488.15/x
  3. Step 3: Cross multiply
    200,212.30x = 299,881.05 × 155,488.15
  4. Step 4: Simplify right side
    200,212.30x = 46,627,949,684.56
  5. Step 5: Solve for x
    x = 46,627,949,684.56/200,212.30
  6. Step 6: Final answer
    x = 232,892.53

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