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Finding the Fourth Proportional to 201,308.84, 301,721.34 and 142,055.72

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Solution

The fourth proportional to 201,308.84, 301,721.34 and 142,055.72 is: 212,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,308.84 : 301,721.34 = 142,055.72 : x
  2. Step 2: Convert to fraction form
    201,308.84/301,721.34 = 142,055.72/x
  3. Step 3: Cross multiply
    201,308.84x = 301,721.34 × 142,055.72
  4. Step 4: Simplify right side
    201,308.84x = 42,861,242,193.06
  5. Step 5: Solve for x
    x = 42,861,242,193.06/201,308.84
  6. Step 6: Final answer
    x = 212,912.87

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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.