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Finding the Fourth Proportional to 200,120.52, 299,699.70 and 114,471.78

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Solution

The fourth proportional to 200,120.52, 299,699.70 and 114,471.78 is: 171,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,120.52 : 299,699.70 = 114,471.78 : x
  2. Step 2: Convert to fraction form
    200,120.52/299,699.70 = 114,471.78/x
  3. Step 3: Cross multiply
    200,120.52x = 299,699.70 × 114,471.78
  4. Step 4: Simplify right side
    200,120.52x = 34,307,158,124.47
  5. Step 5: Solve for x
    x = 34,307,158,124.47/200,120.52
  6. Step 6: Final answer
    x = 171,432.49

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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.