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Finding the Fourth Proportional to 142,142.80, 212,933.40 and 92,257.60

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Solution

The fourth proportional to 142,142.80, 212,933.40 and 92,257.60 is: 138,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,142.80 : 212,933.40 = 92,257.60 : x
  2. Step 2: Convert to fraction form
    142,142.80/212,933.40 = 92,257.60/x
  3. Step 3: Cross multiply
    142,142.80x = 212,933.40 × 92,257.60
  4. Step 4: Simplify right side
    142,142.80x = 19,644,724,443.84
  5. Step 5: Solve for x
    x = 19,644,724,443.84/142,142.80
  6. Step 6: Final answer
    x = 138,204.15

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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.