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Finding the Fourth Proportional to 204,066.90, 306,100.35 and 147,788.10

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Solution

The fourth proportional to 204,066.90, 306,100.35 and 147,788.10 is: 221,682.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,066.90 : 306,100.35 = 147,788.10 : x
  2. Step 2: Convert to fraction form
    204,066.90/306,100.35 = 147,788.10/x
  3. Step 3: Cross multiply
    204,066.90x = 306,100.35 × 147,788.10
  4. Step 4: Simplify right side
    204,066.90x = 45,237,989,135.84
  5. Step 5: Solve for x
    x = 45,237,989,135.84/204,066.90
  6. Step 6: Final answer
    x = 221,682.15

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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.