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Finding the Fourth Proportional to 277,092, 415,707.12 and 80,100

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Solution

The fourth proportional to 277,092, 415,707.12 and 80,100 is: 120,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,092 : 415,707.12 = 80,100 : x
  2. Step 2: Convert to fraction form
    277,092/415,707.12 = 80,100/x
  3. Step 3: Cross multiply
    277,092x = 415,707.12 × 80,100
  4. Step 4: Simplify right side
    277,092x = 33,298,140,312
  5. Step 5: Solve for x
    x = 33,298,140,312/277,092
  6. Step 6: Final answer
    x = 120,169.98

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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.