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Finding the Fourth Proportional to 201,644.10, 302,563.35 and 142,352.10

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Solution

The fourth proportional to 201,644.10, 302,563.35 and 142,352.10 is: 213,596.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,644.10 : 302,563.35 = 142,352.10 : x
  2. Step 2: Convert to fraction form
    201,644.10/302,563.35 = 142,352.10/x
  3. Step 3: Cross multiply
    201,644.10x = 302,563.35 × 142,352.10
  4. Step 4: Simplify right side
    201,644.10x = 43,070,528,255.54
  5. Step 5: Solve for x
    x = 43,070,528,255.54/201,644.10
  6. Step 6: Final answer
    x = 213,596.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.