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Finding the Fourth Proportional to 201,964.96, 302,947.44 and 61,722.40

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Solution

The fourth proportional to 201,964.96, 302,947.44 and 61,722.40 is: 92,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,964.96 : 302,947.44 = 61,722.40 : x
  2. Step 2: Convert to fraction form
    201,964.96/302,947.44 = 61,722.40/x
  3. Step 3: Cross multiply
    201,964.96x = 302,947.44 × 61,722.40
  4. Step 4: Simplify right side
    201,964.96x = 18,698,643,070.66
  5. Step 5: Solve for x
    x = 18,698,643,070.66/201,964.96
  6. Step 6: Final answer
    x = 92,583.60

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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.