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Finding the Fourth Proportional to 178,342.05, 267,621.77 and 71,706.01

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Solution

The fourth proportional to 178,342.05, 267,621.77 and 71,706.01 is: 107,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,342.05 : 267,621.77 = 71,706.01 : x
  2. Step 2: Convert to fraction form
    178,342.05/267,621.77 = 71,706.01/x
  3. Step 3: Cross multiply
    178,342.05x = 267,621.77 × 71,706.01
  4. Step 4: Simplify right side
    178,342.05x = 19,190,089,327.84
  5. Step 5: Solve for x
    x = 19,190,089,327.84/178,342.05
  6. Step 6: Final answer
    x = 107,602.72

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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.