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Finding the Fourth Proportional to 199,656.63, 299,483.73 and 49,896.15

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Solution

The fourth proportional to 199,656.63, 299,483.73 and 49,896.15 is: 74,843.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,656.63 : 299,483.73 = 49,896.15 : x
  2. Step 2: Convert to fraction form
    199,656.63/299,483.73 = 49,896.15/x
  3. Step 3: Cross multiply
    199,656.63x = 299,483.73 × 49,896.15
  4. Step 4: Simplify right side
    199,656.63x = 14,943,085,114.64
  5. Step 5: Solve for x
    x = 14,943,085,114.64/199,656.63
  6. Step 6: Final answer
    x = 74,843.92

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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.