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Finding the Fourth Proportional to 197,129.30, 295,693.92 and 47,369.59

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Solution

The fourth proportional to 197,129.30, 295,693.92 and 47,369.59 is: 71,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,129.30 : 295,693.92 = 47,369.59 : x
  2. Step 2: Convert to fraction form
    197,129.30/295,693.92 = 47,369.59/x
  3. Step 3: Cross multiply
    197,129.30x = 295,693.92 × 47,369.59
  4. Step 4: Simplify right side
    197,129.30x = 14,006,899,744.34
  5. Step 5: Solve for x
    x = 14,006,899,744.34/197,129.30
  6. Step 6: Final answer
    x = 71,054.38

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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.