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Finding the Fourth Proportional to 255,692.41, 383,477.10 and 78,200.96

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Solution

The fourth proportional to 255,692.41, 383,477.10 and 78,200.96 is: 117,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,692.41 : 383,477.10 = 78,200.96 : x
  2. Step 2: Convert to fraction form
    255,692.41/383,477.10 = 78,200.96/x
  3. Step 3: Cross multiply
    255,692.41x = 383,477.10 × 78,200.96
  4. Step 4: Simplify right side
    255,692.41x = 29,988,277,964.26
  5. Step 5: Solve for x
    x = 29,988,277,964.26/255,692.41
  6. Step 6: Final answer
    x = 117,282.63

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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.