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Finding the Fourth Proportional to 197,214, 295,673.31 and 64,014.72

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Solution

The fourth proportional to 197,214, 295,673.31 and 64,014.72 is: 95,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,214 : 295,673.31 = 64,014.72 : x
  2. Step 2: Convert to fraction form
    197,214/295,673.31 = 64,014.72/x
  3. Step 3: Cross multiply
    197,214x = 295,673.31 × 64,014.72
  4. Step 4: Simplify right side
    197,214x = 18,927,444,151.12
  5. Step 5: Solve for x
    x = 18,927,444,151.12/197,214
  6. Step 6: Final answer
    x = 95,974.14

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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.