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Finding the Fourth Proportional to 291,265.84, 401,946.78 and 163,942.12

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Solution

The fourth proportional to 291,265.84, 401,946.78 and 163,942.12 is: 226,240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,265.84 : 401,946.78 = 163,942.12 : x
  2. Step 2: Convert to fraction form
    291,265.84/401,946.78 = 163,942.12/x
  3. Step 3: Cross multiply
    291,265.84x = 401,946.78 × 163,942.12
  4. Step 4: Simplify right side
    291,265.84x = 65,896,007,240.37
  5. Step 5: Solve for x
    x = 65,896,007,240.37/291,265.84
  6. Step 6: Final answer
    x = 226,240.08

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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.