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Finding the Fourth Proportional to 296,798.34, 445,200.93 and 107,273.10

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Solution

The fourth proportional to 296,798.34, 445,200.93 and 107,273.10 is: 160,910.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,798.34 : 445,200.93 = 107,273.10 : x
  2. Step 2: Convert to fraction form
    296,798.34/445,200.93 = 107,273.10/x
  3. Step 3: Cross multiply
    296,798.34x = 445,200.93 × 107,273.10
  4. Step 4: Simplify right side
    296,798.34x = 47,758,083,883.98
  5. Step 5: Solve for x
    x = 47,758,083,883.98/296,798.34
  6. Step 6: Final answer
    x = 160,910.89

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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.