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Finding the Fourth Proportional to 199,066.84, 298,598.41 and 80,710.06

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Solution

The fourth proportional to 199,066.84, 298,598.41 and 80,710.06 is: 121,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,066.84 : 298,598.41 = 80,710.06 : x
  2. Step 2: Convert to fraction form
    199,066.84/298,598.41 = 80,710.06/x
  3. Step 3: Cross multiply
    199,066.84x = 298,598.41 × 80,710.06
  4. Step 4: Simplify right side
    199,066.84x = 24,099,895,587.00
  5. Step 5: Solve for x
    x = 24,099,895,587.00/199,066.84
  6. Step 6: Final answer
    x = 121,064.34

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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.