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Finding the Fourth Proportional to 377,246.98, 565,907.46 and 137,426.08

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Solution

The fourth proportional to 377,246.98, 565,907.46 and 137,426.08 is: 206,152.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,246.98 : 565,907.46 = 137,426.08 : x
  2. Step 2: Convert to fraction form
    377,246.98/565,907.46 = 137,426.08/x
  3. Step 3: Cross multiply
    377,246.98x = 565,907.46 × 137,426.08
  4. Step 4: Simplify right side
    377,246.98x = 77,770,443,870.56
  5. Step 5: Solve for x
    x = 77,770,443,870.56/377,246.98
  6. Step 6: Final answer
    x = 206,152.59

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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.