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Finding the Fourth Proportional to 200,857.77, 301,337.28 and 141,808.77

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Solution

The fourth proportional to 200,857.77, 301,337.28 and 141,808.77 is: 212,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,857.77 : 301,337.28 = 141,808.77 : x
  2. Step 2: Convert to fraction form
    200,857.77/301,337.28 = 141,808.77/x
  3. Step 3: Cross multiply
    200,857.77x = 301,337.28 × 141,808.77
  4. Step 4: Simplify right side
    200,857.77x = 42,732,269,031.95
  5. Step 5: Solve for x
    x = 42,732,269,031.95/200,857.77
  6. Step 6: Final answer
    x = 212,748.90

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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.