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Finding the Fourth Proportional to 376,090.09, 564,218.19 and 139,432.78

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Solution

The fourth proportional to 376,090.09, 564,218.19 and 139,432.78 is: 209,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,090.09 : 564,218.19 = 139,432.78 : x
  2. Step 2: Convert to fraction form
    376,090.09/564,218.19 = 139,432.78/x
  3. Step 3: Cross multiply
    376,090.09x = 564,218.19 × 139,432.78
  4. Step 4: Simplify right side
    376,090.09x = 78,670,510,758.27
  5. Step 5: Solve for x
    x = 78,670,510,758.27/376,090.09
  6. Step 6: Final answer
    x = 209,179.96

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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.