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Finding the Fourth Proportional to 197,071.67, 295,607.51 and 47,311.97

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Solution

The fourth proportional to 197,071.67, 295,607.51 and 47,311.97 is: 70,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,071.67 : 295,607.51 = 47,311.97 : x
  2. Step 2: Convert to fraction form
    197,071.67/295,607.51 = 47,311.97/x
  3. Step 3: Cross multiply
    197,071.67x = 295,607.51 × 47,311.97
  4. Step 4: Simplify right side
    197,071.67x = 13,985,772,285.14
  5. Step 5: Solve for x
    x = 13,985,772,285.14/197,071.67
  6. Step 6: Final answer
    x = 70,967.95

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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.