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Finding the Fourth Proportional to 200,731.77, 301,148.28 and 141,682.77

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Solution

The fourth proportional to 200,731.77, 301,148.28 and 141,682.77 is: 212,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,731.77 : 301,148.28 = 141,682.77 : x
  2. Step 2: Convert to fraction form
    200,731.77/301,148.28 = 141,682.77/x
  3. Step 3: Cross multiply
    200,731.77x = 301,148.28 × 141,682.77
  4. Step 4: Simplify right side
    200,731.77x = 42,667,522,491.14
  5. Step 5: Solve for x
    x = 42,667,522,491.14/200,731.77
  6. Step 6: Final answer
    x = 212,559.89

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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.