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Finding the Fourth Proportional to 199,621, 275,476.98 and 110,197.64

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Solution

The fourth proportional to 199,621, 275,476.98 and 110,197.64 is: 152,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,621 : 275,476.98 = 110,197.64 : x
  2. Step 2: Convert to fraction form
    199,621/275,476.98 = 110,197.64/x
  3. Step 3: Cross multiply
    199,621x = 275,476.98 × 110,197.64
  4. Step 4: Simplify right side
    199,621x = 30,356,913,070.33
  5. Step 5: Solve for x
    x = 30,356,913,070.33/199,621
  6. Step 6: Final answer
    x = 152,072.74

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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.