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Finding the Fourth Proportional to 294,893.66, 442,254.90 and 114,939

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Solution

The fourth proportional to 294,893.66, 442,254.90 and 114,939 is: 172,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,893.66 : 442,254.90 = 114,939 : x
  2. Step 2: Convert to fraction form
    294,893.66/442,254.90 = 114,939/x
  3. Step 3: Cross multiply
    294,893.66x = 442,254.90 × 114,939
  4. Step 4: Simplify right side
    294,893.66x = 50,832,336,382.12
  5. Step 5: Solve for x
    x = 50,832,336,382.12/294,893.66
  6. Step 6: Final answer
    x = 172,375.14

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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.