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Finding the Fourth Proportional to 262,096, 361,692.72 and 142,864

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Solution

The fourth proportional to 262,096, 361,692.72 and 142,864 is: 197,152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,096 : 361,692.72 = 142,864 : x
  2. Step 2: Convert to fraction form
    262,096/361,692.72 = 142,864/x
  3. Step 3: Cross multiply
    262,096x = 361,692.72 × 142,864
  4. Step 4: Simplify right side
    262,096x = 51,672,868,750.08
  5. Step 5: Solve for x
    x = 51,672,868,750.08/262,096
  6. Step 6: Final answer
    x = 197,152.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.