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Finding the Fourth Proportional to 199,415.98, 275,196.54 and 118,889.92

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Solution

The fourth proportional to 199,415.98, 275,196.54 and 118,889.92 is: 164,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,415.98 : 275,196.54 = 118,889.92 : x
  2. Step 2: Convert to fraction form
    199,415.98/275,196.54 = 118,889.92/x
  3. Step 3: Cross multiply
    199,415.98x = 275,196.54 × 118,889.92
  4. Step 4: Simplify right side
    199,415.98x = 32,718,094,624.88
  5. Step 5: Solve for x
    x = 32,718,094,624.88/199,415.98
  6. Step 6: Final answer
    x = 164,069.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.