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Finding the Fourth Proportional to 197,349.62, 295,954.56 and 64,205.06

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Solution

The fourth proportional to 197,349.62, 295,954.56 and 64,205.06 is: 96,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,349.62 : 295,954.56 = 64,205.06 : x
  2. Step 2: Convert to fraction form
    197,349.62/295,954.56 = 64,205.06/x
  3. Step 3: Cross multiply
    197,349.62x = 295,954.56 × 64,205.06
  4. Step 4: Simplify right side
    197,349.62x = 19,001,778,802.30
  5. Step 5: Solve for x
    x = 19,001,778,802.30/197,349.62
  6. Step 6: Final answer
    x = 96,284.85

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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.