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Finding the Fourth Proportional to 154,649, 231,973.50 and 37,913

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Solution

The fourth proportional to 154,649, 231,973.50 and 37,913 is: 56,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,649 : 231,973.50 = 37,913 : x
  2. Step 2: Convert to fraction form
    154,649/231,973.50 = 37,913/x
  3. Step 3: Cross multiply
    154,649x = 231,973.50 × 37,913
  4. Step 4: Simplify right side
    154,649x = 8,794,811,305.50
  5. Step 5: Solve for x
    x = 8,794,811,305.50/154,649
  6. Step 6: Final answer
    x = 56,869.50

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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.