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Finding the Fourth Proportional to 199,564.56, 299,386.28 and 73,205.98

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Solution

The fourth proportional to 199,564.56, 299,386.28 and 73,205.98 is: 109,823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,564.56 : 299,386.28 = 73,205.98 : x
  2. Step 2: Convert to fraction form
    199,564.56/299,386.28 = 73,205.98/x
  3. Step 3: Cross multiply
    199,564.56x = 299,386.28 × 73,205.98
  4. Step 4: Simplify right side
    199,564.56x = 21,916,866,025.95
  5. Step 5: Solve for x
    x = 21,916,866,025.95/199,564.56
  6. Step 6: Final answer
    x = 109,823.44

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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.