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Finding the Fourth Proportional to 214,729.30, 322,130.40 and 64,968.40

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Solution

The fourth proportional to 214,729.30, 322,130.40 and 64,968.40 is: 97,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,729.30 : 322,130.40 = 64,968.40 : x
  2. Step 2: Convert to fraction form
    214,729.30/322,130.40 = 64,968.40/x
  3. Step 3: Cross multiply
    214,729.30x = 322,130.40 × 64,968.40
  4. Step 4: Simplify right side
    214,729.30x = 20,928,296,679.36
  5. Step 5: Solve for x
    x = 20,928,296,679.36/214,729.30
  6. Step 6: Final answer
    x = 97,463.63

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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.