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Finding the Fourth Proportional to 277,238.16, 415,783.44 and 77,546.16

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Solution

The fourth proportional to 277,238.16, 415,783.44 and 77,546.16 is: 116,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,238.16 : 415,783.44 = 77,546.16 : x
  2. Step 2: Convert to fraction form
    277,238.16/415,783.44 = 77,546.16/x
  3. Step 3: Cross multiply
    277,238.16x = 415,783.44 × 77,546.16
  4. Step 4: Simplify right side
    277,238.16x = 32,242,409,163.59
  5. Step 5: Solve for x
    x = 32,242,409,163.59/277,238.16
  6. Step 6: Final answer
    x = 116,298.60

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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.