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Finding the Fourth Proportional to 149,578.68, 224,302.26 and 56,018.82

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Solution

The fourth proportional to 149,578.68, 224,302.26 and 56,018.82 is: 84,003.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,578.68 : 224,302.26 = 56,018.82 : x
  2. Step 2: Convert to fraction form
    149,578.68/224,302.26 = 56,018.82/x
  3. Step 3: Cross multiply
    149,578.68x = 224,302.26 × 56,018.82
  4. Step 4: Simplify right side
    149,578.68x = 12,565,147,928.53
  5. Step 5: Solve for x
    x = 12,565,147,928.53/149,578.68
  6. Step 6: Final answer
    x = 84,003.60

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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.