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Finding the Fourth Proportional to 201,264.90, 301,897.35 and 82,896.90

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Solution

The fourth proportional to 201,264.90, 301,897.35 and 82,896.90 is: 124,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,264.90 : 301,897.35 = 82,896.90 : x
  2. Step 2: Convert to fraction form
    201,264.90/301,897.35 = 82,896.90/x
  3. Step 3: Cross multiply
    201,264.90x = 301,897.35 × 82,896.90
  4. Step 4: Simplify right side
    201,264.90x = 25,026,354,433.22
  5. Step 5: Solve for x
    x = 25,026,354,433.22/201,264.90
  6. Step 6: Final answer
    x = 124,345.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.