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Finding the Fourth Proportional to 229,965, 344,947.50 and 63,753

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Solution

The fourth proportional to 229,965, 344,947.50 and 63,753 is: 95,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,965 : 344,947.50 = 63,753 : x
  2. Step 2: Convert to fraction form
    229,965/344,947.50 = 63,753/x
  3. Step 3: Cross multiply
    229,965x = 344,947.50 × 63,753
  4. Step 4: Simplify right side
    229,965x = 21,991,437,967.50
  5. Step 5: Solve for x
    x = 21,991,437,967.50/229,965
  6. Step 6: Final answer
    x = 95,629.50

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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.