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Finding the Fourth Proportional to 201,914.40, 302,871.60 and 154,675.20

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Solution

The fourth proportional to 201,914.40, 302,871.60 and 154,675.20 is: 232,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914.40 : 302,871.60 = 154,675.20 : x
  2. Step 2: Convert to fraction form
    201,914.40/302,871.60 = 154,675.20/x
  3. Step 3: Cross multiply
    201,914.40x = 302,871.60 × 154,675.20
  4. Step 4: Simplify right side
    201,914.40x = 46,846,725,304.32
  5. Step 5: Solve for x
    x = 46,846,725,304.32/201,914.40
  6. Step 6: Final answer
    x = 232,012.80

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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.