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Finding the Fourth Proportional to 513,042.50, 769,665.82 and 158,041.38

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Solution

The fourth proportional to 513,042.50, 769,665.82 and 158,041.38 is: 237,093.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,042.50 : 769,665.82 = 158,041.38 : x
  2. Step 2: Convert to fraction form
    513,042.50/769,665.82 = 158,041.38/x
  3. Step 3: Cross multiply
    513,042.50x = 769,665.82 × 158,041.38
  4. Step 4: Simplify right side
    513,042.50x = 121,639,048,331.63
  5. Step 5: Solve for x
    x = 121,639,048,331.63/513,042.50
  6. Step 6: Final answer
    x = 237,093.51

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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.