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Finding the Fourth Proportional to 142,149.50, 213,225.34 and 48,656.06

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Solution

The fourth proportional to 142,149.50, 213,225.34 and 48,656.06 is: 72,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,149.50 : 213,225.34 = 48,656.06 : x
  2. Step 2: Convert to fraction form
    142,149.50/213,225.34 = 48,656.06/x
  3. Step 3: Cross multiply
    142,149.50x = 213,225.34 × 48,656.06
  4. Step 4: Simplify right side
    142,149.50x = 10,374,704,936.56
  5. Step 5: Solve for x
    x = 10,374,704,936.56/142,149.50
  6. Step 6: Final answer
    x = 72,984.46

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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.