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Finding the Fourth Proportional to 199,157.54, 298,719.93 and 65,994.26

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Solution

The fourth proportional to 199,157.54, 298,719.93 and 65,994.26 is: 98,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,157.54 : 298,719.93 = 65,994.26 : x
  2. Step 2: Convert to fraction form
    199,157.54/298,719.93 = 65,994.26/x
  3. Step 3: Cross multiply
    199,157.54x = 298,719.93 × 65,994.26
  4. Step 4: Simplify right side
    199,157.54x = 19,713,800,727.60
  5. Step 5: Solve for x
    x = 19,713,800,727.60/199,157.54
  6. Step 6: Final answer
    x = 98,985.96

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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.