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Finding the Fourth Proportional to 201,867.80, 302,692.35 and 83,551.10

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Solution

The fourth proportional to 201,867.80, 302,692.35 and 83,551.10 is: 125,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,867.80 : 302,692.35 = 83,551.10 : x
  2. Step 2: Convert to fraction form
    201,867.80/302,692.35 = 83,551.10/x
  3. Step 3: Cross multiply
    201,867.80x = 302,692.35 × 83,551.10
  4. Step 4: Simplify right side
    201,867.80x = 25,290,278,804.09
  5. Step 5: Solve for x
    x = 25,290,278,804.09/201,867.80
  6. Step 6: Final answer
    x = 125,281.39

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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.