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Finding the Fourth Proportional to 200,890.98, 301,163.31 and 115,483.77

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Solution

The fourth proportional to 200,890.98, 301,163.31 and 115,483.77 is: 173,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,890.98 : 301,163.31 = 115,483.77 : x
  2. Step 2: Convert to fraction form
    200,890.98/301,163.31 = 115,483.77/x
  3. Step 3: Cross multiply
    200,890.98x = 301,163.31 × 115,483.77
  4. Step 4: Simplify right side
    200,890.98x = 34,779,474,424.48
  5. Step 5: Solve for x
    x = 34,779,474,424.48/200,890.98
  6. Step 6: Final answer
    x = 173,126.11

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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.