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Finding the Fourth Proportional to 201,696.32, 302,456.64 and 61,422.08

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Solution

The fourth proportional to 201,696.32, 302,456.64 and 61,422.08 is: 92,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,696.32 : 302,456.64 = 61,422.08 : x
  2. Step 2: Convert to fraction form
    201,696.32/302,456.64 = 61,422.08/x
  3. Step 3: Cross multiply
    201,696.32x = 302,456.64 × 61,422.08
  4. Step 4: Simplify right side
    201,696.32x = 18,577,515,938.61
  5. Step 5: Solve for x
    x = 18,577,515,938.61/201,696.32
  6. Step 6: Final answer
    x = 92,106.37

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Why These Related Problems?

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