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Finding the Fourth Proportional to 220,924.36, 304,875.60 and 120,322.36

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Solution

The fourth proportional to 220,924.36, 304,875.60 and 120,322.36 is: 166,044.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,924.36 : 304,875.60 = 120,322.36 : x
  2. Step 2: Convert to fraction form
    220,924.36/304,875.60 = 120,322.36/x
  3. Step 3: Cross multiply
    220,924.36x = 304,875.60 × 120,322.36
  4. Step 4: Simplify right side
    220,924.36x = 36,683,351,698.42
  5. Step 5: Solve for x
    x = 36,683,351,698.42/220,924.36
  6. Step 6: Final answer
    x = 166,044.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.