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Finding the Fourth Proportional to 403,625.10, 605,005.65 and 137,138.70

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Solution

The fourth proportional to 403,625.10, 605,005.65 and 137,138.70 is: 205,561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,625.10 : 605,005.65 = 137,138.70 : x
  2. Step 2: Convert to fraction form
    403,625.10/605,005.65 = 137,138.70/x
  3. Step 3: Cross multiply
    403,625.10x = 605,005.65 × 137,138.70
  4. Step 4: Simplify right side
    403,625.10x = 82,969,688,333.66
  5. Step 5: Solve for x
    x = 82,969,688,333.66/403,625.10
  6. Step 6: Final answer
    x = 205,561.27

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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.