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Finding the Fourth Proportional to 164,633.50, 246,634.70 and 97,871.50

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Solution

The fourth proportional to 164,633.50, 246,634.70 and 97,871.50 is: 146,619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,633.50 : 246,634.70 = 97,871.50 : x
  2. Step 2: Convert to fraction form
    164,633.50/246,634.70 = 97,871.50/x
  3. Step 3: Cross multiply
    164,633.50x = 246,634.70 × 97,871.50
  4. Step 4: Simplify right side
    164,633.50x = 24,138,508,041.05
  5. Step 5: Solve for x
    x = 24,138,508,041.05/164,633.50
  6. Step 6: Final answer
    x = 146,619.66

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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.