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Finding the Fourth Proportional to 219,309.50, 328,976.00 and 69,561.16

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Solution

The fourth proportional to 219,309.50, 328,976.00 and 69,561.16 is: 104,345.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,309.50 : 328,976.00 = 69,561.16 : x
  2. Step 2: Convert to fraction form
    219,309.50/328,976.00 = 69,561.16/x
  3. Step 3: Cross multiply
    219,309.50x = 328,976.00 × 69,561.16
  4. Step 4: Simplify right side
    219,309.50x = 22,883,951,262.77
  5. Step 5: Solve for x
    x = 22,883,951,262.77/219,309.50
  6. Step 6: Final answer
    x = 104,345.46

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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.