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Finding the Fourth Proportional to 201,713.90, 302,570.85 and 198,214.70

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Solution

The fourth proportional to 201,713.90, 302,570.85 and 198,214.70 is: 297,322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,713.90 : 302,570.85 = 198,214.70 : x
  2. Step 2: Convert to fraction form
    201,713.90/302,570.85 = 198,214.70/x
  3. Step 3: Cross multiply
    201,713.90x = 302,570.85 × 198,214.70
  4. Step 4: Simplify right side
    201,713.90x = 59,973,990,261.50
  5. Step 5: Solve for x
    x = 59,973,990,261.50/201,713.90
  6. Step 6: Final answer
    x = 297,322.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.