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Finding the Fourth Proportional to 296,650.14, 444,664.17 and 138,745.50

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Solution

The fourth proportional to 296,650.14, 444,664.17 and 138,745.50 is: 207,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,650.14 : 444,664.17 = 138,745.50 : x
  2. Step 2: Convert to fraction form
    296,650.14/444,664.17 = 138,745.50/x
  3. Step 3: Cross multiply
    296,650.14x = 444,664.17 × 138,745.50
  4. Step 4: Simplify right side
    296,650.14x = 61,695,152,598.74
  5. Step 5: Solve for x
    x = 61,695,152,598.74/296,650.14
  6. Step 6: Final answer
    x = 207,972.77

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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.