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Finding the Fourth Proportional to 277,142.96, 415,291.50 and 144,066.44

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Solution

The fourth proportional to 277,142.96, 415,291.50 and 144,066.44 is: 215,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,142.96 : 415,291.50 = 144,066.44 : x
  2. Step 2: Convert to fraction form
    277,142.96/415,291.50 = 144,066.44/x
  3. Step 3: Cross multiply
    277,142.96x = 415,291.50 × 144,066.44
  4. Step 4: Simplify right side
    277,142.96x = 59,829,567,967.26
  5. Step 5: Solve for x
    x = 59,829,567,967.26/277,142.96
  6. Step 6: Final answer
    x = 215,879.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.