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Finding the Fourth Proportional to 159,457, 239,185.50 and 65,965

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Solution

The fourth proportional to 159,457, 239,185.50 and 65,965 is: 98,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,457 : 239,185.50 = 65,965 : x
  2. Step 2: Convert to fraction form
    159,457/239,185.50 = 65,965/x
  3. Step 3: Cross multiply
    159,457x = 239,185.50 × 65,965
  4. Step 4: Simplify right side
    159,457x = 15,777,871,507.50
  5. Step 5: Solve for x
    x = 15,777,871,507.50/159,457
  6. Step 6: Final answer
    x = 98,947.50

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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.