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Finding the Fourth Proportional to 201,239.40, 302,204.70 and 142,487.40

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Solution

The fourth proportional to 201,239.40, 302,204.70 and 142,487.40 is: 213,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,239.40 : 302,204.70 = 142,487.40 : x
  2. Step 2: Convert to fraction form
    201,239.40/302,204.70 = 142,487.40/x
  3. Step 3: Cross multiply
    201,239.40x = 302,204.70 × 142,487.40
  4. Step 4: Simplify right side
    201,239.40x = 43,060,361,970.78
  5. Step 5: Solve for x
    x = 43,060,361,970.78/201,239.40
  6. Step 6: Final answer
    x = 213,975.80

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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.