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Finding the Fourth Proportional to 201,032.90, 301,403.55 and 82,643.30

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Solution

The fourth proportional to 201,032.90, 301,403.55 and 82,643.30 is: 123,905.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,032.90 : 301,403.55 = 82,643.30 : x
  2. Step 2: Convert to fraction form
    201,032.90/301,403.55 = 82,643.30/x
  3. Step 3: Cross multiply
    201,032.90x = 301,403.55 × 82,643.30
  4. Step 4: Simplify right side
    201,032.90x = 24,908,984,003.72
  5. Step 5: Solve for x
    x = 24,908,984,003.72/201,032.90
  6. Step 6: Final answer
    x = 123,905.01

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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.