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Finding the Fourth Proportional to 251,948, 377,973.84 and 104,204

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Solution

The fourth proportional to 251,948, 377,973.84 and 104,204 is: 156,327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,948 : 377,973.84 = 104,204 : x
  2. Step 2: Convert to fraction form
    251,948/377,973.84 = 104,204/x
  3. Step 3: Cross multiply
    251,948x = 377,973.84 × 104,204
  4. Step 4: Simplify right side
    251,948x = 39,386,386,023.36
  5. Step 5: Solve for x
    x = 39,386,386,023.36/251,948
  6. Step 6: Final answer
    x = 156,327.44

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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.