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Finding the Fourth Proportional to 200,707.56, 302,882.40 and 194,015.16

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Solution

The fourth proportional to 200,707.56, 302,882.40 and 194,015.16 is: 292,783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,707.56 : 302,882.40 = 194,015.16 : x
  2. Step 2: Convert to fraction form
    200,707.56/302,882.40 = 194,015.16/x
  3. Step 3: Cross multiply
    200,707.56x = 302,882.40 × 194,015.16
  4. Step 4: Simplify right side
    200,707.56x = 58,763,777,297.18
  5. Step 5: Solve for x
    x = 58,763,777,297.18/200,707.56
  6. Step 6: Final answer
    x = 292,783.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.