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Finding the Fourth Proportional to 212,709.52, 319,052.76 and 64,954

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Solution

The fourth proportional to 212,709.52, 319,052.76 and 64,954 is: 97,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,709.52 : 319,052.76 = 64,954 : x
  2. Step 2: Convert to fraction form
    212,709.52/319,052.76 = 64,954/x
  3. Step 3: Cross multiply
    212,709.52x = 319,052.76 × 64,954
  4. Step 4: Simplify right side
    212,709.52x = 20,723,752,973.04
  5. Step 5: Solve for x
    x = 20,723,752,973.04/212,709.52
  6. Step 6: Final answer
    x = 97,427.48

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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.