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Finding the Fourth Proportional to 201,887.10, 302,866.31 and 83,492.10

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Solution

The fourth proportional to 201,887.10, 302,866.31 and 83,492.10 is: 125,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,887.10 : 302,866.31 = 83,492.10 : x
  2. Step 2: Convert to fraction form
    201,887.10/302,866.31 = 83,492.10/x
  3. Step 3: Cross multiply
    201,887.10x = 302,866.31 × 83,492.10
  4. Step 4: Simplify right side
    201,887.10x = 25,286,944,241.15
  5. Step 5: Solve for x
    x = 25,286,944,241.15/201,887.10
  6. Step 6: Final answer
    x = 125,252.90

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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.