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Finding the Fourth Proportional to 296,995.47, 445,537.65 and 107,500.17

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Solution

The fourth proportional to 296,995.47, 445,537.65 and 107,500.17 is: 161,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,995.47 : 445,537.65 = 107,500.17 : x
  2. Step 2: Convert to fraction form
    296,995.47/445,537.65 = 107,500.17/x
  3. Step 3: Cross multiply
    296,995.47x = 445,537.65 × 107,500.17
  4. Step 4: Simplify right side
    296,995.47x = 47,895,373,116.40
  5. Step 5: Solve for x
    x = 47,895,373,116.40/296,995.47
  6. Step 6: Final answer
    x = 161,266.34

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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.