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Finding the Fourth Proportional to 137,198.68, 205,810.32 and 37,359.40

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Solution

The fourth proportional to 137,198.68, 205,810.32 and 37,359.40 is: 56,042.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,198.68 : 205,810.32 = 37,359.40 : x
  2. Step 2: Convert to fraction form
    137,198.68/205,810.32 = 37,359.40/x
  3. Step 3: Cross multiply
    137,198.68x = 205,810.32 × 37,359.40
  4. Step 4: Simplify right side
    137,198.68x = 7,688,950,069.01
  5. Step 5: Solve for x
    x = 7,688,950,069.01/137,198.68
  6. Step 6: Final answer
    x = 56,042.45

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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.