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Finding the Fourth Proportional to 197,164.54, 295,746.81 and 47,404.83

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Solution

The fourth proportional to 197,164.54, 295,746.81 and 47,404.83 is: 71,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,164.54 : 295,746.81 = 47,404.83 : x
  2. Step 2: Convert to fraction form
    197,164.54/295,746.81 = 47,404.83/x
  3. Step 3: Cross multiply
    197,164.54x = 295,746.81 × 47,404.83
  4. Step 4: Simplify right side
    197,164.54x = 14,019,828,419.40
  5. Step 5: Solve for x
    x = 14,019,828,419.40/197,164.54
  6. Step 6: Final answer
    x = 71,107.25

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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.