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Finding the Fourth Proportional to 201,883.80, 302,716.35 and 83,567.10

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Solution

The fourth proportional to 201,883.80, 302,716.35 and 83,567.10 is: 125,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,883.80 : 302,716.35 = 83,567.10 : x
  2. Step 2: Convert to fraction form
    201,883.80/302,716.35 = 83,567.10/x
  3. Step 3: Cross multiply
    201,883.80x = 302,716.35 × 83,567.10
  4. Step 4: Simplify right side
    201,883.80x = 25,297,127,492.09
  5. Step 5: Solve for x
    x = 25,297,127,492.09/201,883.80
  6. Step 6: Final answer
    x = 125,305.39

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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.