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Finding the Fourth Proportional to 200,778.84, 301,058.28 and 92,590.77

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Solution

The fourth proportional to 200,778.84, 301,058.28 and 92,590.77 is: 138,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,778.84 : 301,058.28 = 92,590.77 : x
  2. Step 2: Convert to fraction form
    200,778.84/301,058.28 = 92,590.77/x
  3. Step 3: Cross multiply
    200,778.84x = 301,058.28 × 92,590.77
  4. Step 4: Simplify right side
    200,778.84x = 27,875,217,960.08
  5. Step 5: Solve for x
    x = 27,875,217,960.08/200,778.84
  6. Step 6: Final answer
    x = 138,835.44

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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.