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Finding the Fourth Proportional to 201,142.60, 301,908.30 and 101,415.40

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Solution

The fourth proportional to 201,142.60, 301,908.30 and 101,415.40 is: 152,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,142.60 : 301,908.30 = 101,415.40 : x
  2. Step 2: Convert to fraction form
    201,142.60/301,908.30 = 101,415.40/x
  3. Step 3: Cross multiply
    201,142.60x = 301,908.30 × 101,415.40
  4. Step 4: Simplify right side
    201,142.60x = 30,618,151,007.82
  5. Step 5: Solve for x
    x = 30,618,151,007.82/201,142.60
  6. Step 6: Final answer
    x = 152,221.12

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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.