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Finding the Fourth Proportional to 197,742.48, 296,611.22 and 47,984

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Solution

The fourth proportional to 197,742.48, 296,611.22 and 47,984 is: 71,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,742.48 : 296,611.22 = 47,984 : x
  2. Step 2: Convert to fraction form
    197,742.48/296,611.22 = 47,984/x
  3. Step 3: Cross multiply
    197,742.48x = 296,611.22 × 47,984
  4. Step 4: Simplify right side
    197,742.48x = 14,232,592,780.48
  5. Step 5: Solve for x
    x = 14,232,592,780.48/197,742.48
  6. Step 6: Final answer
    x = 71,975.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.