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Finding the Fourth Proportional to 185,365.46, 277,855.54 and 78,817.78

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Solution

The fourth proportional to 185,365.46, 277,855.54 and 78,817.78 is: 118,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,365.46 : 277,855.54 = 78,817.78 : x
  2. Step 2: Convert to fraction form
    185,365.46/277,855.54 = 78,817.78/x
  3. Step 3: Cross multiply
    185,365.46x = 277,855.54 × 78,817.78
  4. Step 4: Simplify right side
    185,365.46x = 21,899,956,823.50
  5. Step 5: Solve for x
    x = 21,899,956,823.50/185,365.46
  6. Step 6: Final answer
    x = 118,144.75

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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.