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Finding the Fourth Proportional to 142,773.04, 214,163.04 and 48,004.60

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Solution

The fourth proportional to 142,773.04, 214,163.04 and 48,004.60 is: 72,008.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,773.04 : 214,163.04 = 48,004.60 : x
  2. Step 2: Convert to fraction form
    142,773.04/214,163.04 = 48,004.60/x
  3. Step 3: Cross multiply
    142,773.04x = 214,163.04 × 48,004.60
  4. Step 4: Simplify right side
    142,773.04x = 10,280,811,069.98
  5. Step 5: Solve for x
    x = 10,280,811,069.98/142,773.04
  6. Step 6: Final answer
    x = 72,008.07

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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.