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Finding the Fourth Proportional to 341,991.27, 513,012.69 and 102,086.24

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Solution

The fourth proportional to 341,991.27, 513,012.69 and 102,086.24 is: 153,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,991.27 : 513,012.69 = 102,086.24 : x
  2. Step 2: Convert to fraction form
    341,991.27/513,012.69 = 102,086.24/x
  3. Step 3: Cross multiply
    341,991.27x = 513,012.69 × 102,086.24
  4. Step 4: Simplify right side
    341,991.27x = 52,371,534,029.32
  5. Step 5: Solve for x
    x = 52,371,534,029.32/341,991.27
  6. Step 6: Final answer
    x = 153,137.05

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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.