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Finding the Fourth Proportional to 197,856.27, 296,830.98 and 64,736.01

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Solution

The fourth proportional to 197,856.27, 296,830.98 and 64,736.01 is: 97,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,856.27 : 296,830.98 = 64,736.01 : x
  2. Step 2: Convert to fraction form
    197,856.27/296,830.98 = 64,736.01/x
  3. Step 3: Cross multiply
    197,856.27x = 296,830.98 × 64,736.01
  4. Step 4: Simplify right side
    197,856.27x = 19,215,653,289.59
  5. Step 5: Solve for x
    x = 19,215,653,289.59/197,856.27
  6. Step 6: Final answer
    x = 97,119.25

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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.