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Finding the Fourth Proportional to 200,902.68, 301,409.64 and 163,369.98

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Solution

The fourth proportional to 200,902.68, 301,409.64 and 163,369.98 is: 245,100.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,902.68 : 301,409.64 = 163,369.98 : x
  2. Step 2: Convert to fraction form
    200,902.68/301,409.64 = 163,369.98/x
  3. Step 3: Cross multiply
    200,902.68x = 301,409.64 × 163,369.98
  4. Step 4: Simplify right side
    200,902.68x = 49,241,286,858.61
  5. Step 5: Solve for x
    x = 49,241,286,858.61/200,902.68
  6. Step 6: Final answer
    x = 245,100.20

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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.