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Finding the Fourth Proportional to 301,874.31, 452,826.95 and 77,236.65

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Solution

The fourth proportional to 301,874.31, 452,826.95 and 77,236.65 is: 115,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,874.31 : 452,826.95 = 77,236.65 : x
  2. Step 2: Convert to fraction form
    301,874.31/452,826.95 = 77,236.65/x
  3. Step 3: Cross multiply
    301,874.31x = 452,826.95 × 77,236.65
  4. Step 4: Simplify right side
    301,874.31x = 34,974,836,261.53
  5. Step 5: Solve for x
    x = 34,974,836,261.53/301,874.31
  6. Step 6: Final answer
    x = 115,858.94

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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.