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Finding the Fourth Proportional to 376,151.68, 564,447.88 and 139,657.60

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Solution

The fourth proportional to 376,151.68, 564,447.88 and 139,657.60 is: 209,568.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,151.68 : 564,447.88 = 139,657.60 : x
  2. Step 2: Convert to fraction form
    376,151.68/564,447.88 = 139,657.60/x
  3. Step 3: Cross multiply
    376,151.68x = 564,447.88 × 139,657.60
  4. Step 4: Simplify right side
    376,151.68x = 78,829,436,245.89
  5. Step 5: Solve for x
    x = 78,829,436,245.89/376,151.68
  6. Step 6: Final answer
    x = 209,568.22

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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.