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Finding the Fourth Proportional to 277,241.66, 415,788.68 and 77,549.66

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Solution

The fourth proportional to 277,241.66, 415,788.68 and 77,549.66 is: 116,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,241.66 : 415,788.68 = 77,549.66 : x
  2. Step 2: Convert to fraction form
    277,241.66/415,788.68 = 77,549.66/x
  3. Step 3: Cross multiply
    277,241.66x = 415,788.68 × 77,549.66
  4. Step 4: Simplify right side
    277,241.66x = 32,244,270,765.85
  5. Step 5: Solve for x
    x = 32,244,270,765.85/277,241.66
  6. Step 6: Final answer
    x = 116,303.84

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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.