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Finding the Fourth Proportional to 201,316.50, 302,073.16 and 142,529.94

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Solution

The fourth proportional to 201,316.50, 302,073.16 and 142,529.94 is: 213,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,316.50 : 302,073.16 = 142,529.94 : x
  2. Step 2: Convert to fraction form
    201,316.50/302,073.16 = 142,529.94/x
  3. Step 3: Cross multiply
    201,316.50x = 302,073.16 × 142,529.94
  4. Step 4: Simplify right side
    201,316.50x = 43,054,469,370.41
  5. Step 5: Solve for x
    x = 43,054,469,370.41/201,316.50
  6. Step 6: Final answer
    x = 213,864.58

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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.