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Finding the Fourth Proportional to 201,362.90, 301,852.35 and 74,969.30

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Solution

The fourth proportional to 201,362.90, 301,852.35 and 74,969.30 is: 112,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,362.90 : 301,852.35 = 74,969.30 : x
  2. Step 2: Convert to fraction form
    201,362.90/301,852.35 = 74,969.30/x
  3. Step 3: Cross multiply
    201,362.90x = 301,852.35 × 74,969.30
  4. Step 4: Simplify right side
    201,362.90x = 22,629,659,382.86
  5. Step 5: Solve for x
    x = 22,629,659,382.86/201,362.90
  6. Step 6: Final answer
    x = 112,382.47

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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.