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Finding the Fourth Proportional to 142,280.64, 213,446.88 and 48,765.60

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Solution

The fourth proportional to 142,280.64, 213,446.88 and 48,765.60 is: 73,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,280.64 : 213,446.88 = 48,765.60 : x
  2. Step 2: Convert to fraction form
    142,280.64/213,446.88 = 48,765.60/x
  3. Step 3: Cross multiply
    142,280.64x = 213,446.88 × 48,765.60
  4. Step 4: Simplify right side
    142,280.64x = 10,408,865,171.33
  5. Step 5: Solve for x
    x = 10,408,865,171.33/142,280.64
  6. Step 6: Final answer
    x = 73,157.28

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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.