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Finding the Fourth Proportional to 197,858.70, 296,829.57 and 64,728.66

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Solution

The fourth proportional to 197,858.70, 296,829.57 and 64,728.66 is: 97,106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,858.70 : 296,829.57 = 64,728.66 : x
  2. Step 2: Convert to fraction form
    197,858.70/296,829.57 = 64,728.66/x
  3. Step 3: Cross multiply
    197,858.70x = 296,829.57 × 64,728.66
  4. Step 4: Simplify right side
    197,858.70x = 19,213,380,314.48
  5. Step 5: Solve for x
    x = 19,213,380,314.48/197,858.70
  6. Step 6: Final answer
    x = 97,106.57

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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.