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Finding the Fourth Proportional to 197,858.01, 296,828.54 and 64,727.84

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Solution

The fourth proportional to 197,858.01, 296,828.54 and 64,727.84 is: 97,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,858.01 : 296,828.54 = 64,727.84 : x
  2. Step 2: Convert to fraction form
    197,858.01/296,828.54 = 64,727.84/x
  3. Step 3: Cross multiply
    197,858.01x = 296,828.54 × 64,727.84
  4. Step 4: Simplify right side
    197,858.01x = 19,213,068,436.77
  5. Step 5: Solve for x
    x = 19,213,068,436.77/197,858.01
  6. Step 6: Final answer
    x = 97,105.34

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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.