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Finding the Fourth Proportional to 219,295.82, 328,840.02 and 100,932.14

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Solution

The fourth proportional to 219,295.82, 328,840.02 and 100,932.14 is: 151,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,295.82 : 328,840.02 = 100,932.14 : x
  2. Step 2: Convert to fraction form
    219,295.82/328,840.02 = 100,932.14/x
  3. Step 3: Cross multiply
    219,295.82x = 328,840.02 × 100,932.14
  4. Step 4: Simplify right side
    219,295.82x = 33,190,525,292.04
  5. Step 5: Solve for x
    x = 33,190,525,292.04/219,295.82
  6. Step 6: Final answer
    x = 151,350.47

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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.