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Finding the Fourth Proportional to 199,822.40, 299,475.22 and 149,507.73

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Solution

The fourth proportional to 199,822.40, 299,475.22 and 149,507.73 is: 224,068.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,822.40 : 299,475.22 = 149,507.73 : x
  2. Step 2: Convert to fraction form
    199,822.40/299,475.22 = 149,507.73/x
  3. Step 3: Cross multiply
    199,822.40x = 299,475.22 × 149,507.73
  4. Step 4: Simplify right side
    199,822.40x = 44,773,860,333.45
  5. Step 5: Solve for x
    x = 44,773,860,333.45/199,822.40
  6. Step 6: Final answer
    x = 224,068.27

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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.