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Finding the Fourth Proportional to 214,502.67, 321,756.30 and 64,744.30

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Solution

The fourth proportional to 214,502.67, 321,756.30 and 64,744.30 is: 97,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,502.67 : 321,756.30 = 64,744.30 : x
  2. Step 2: Convert to fraction form
    214,502.67/321,756.30 = 64,744.30/x
  3. Step 3: Cross multiply
    214,502.67x = 321,756.30 × 64,744.30
  4. Step 4: Simplify right side
    214,502.67x = 20,831,886,414.09
  5. Step 5: Solve for x
    x = 20,831,886,414.09/214,502.67
  6. Step 6: Final answer
    x = 97,117.14

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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.