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Finding the Fourth Proportional to 201,744.10, 302,713.35 and 142,452.10

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Solution

The fourth proportional to 201,744.10, 302,713.35 and 142,452.10 is: 213,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,744.10 : 302,713.35 = 142,452.10 : x
  2. Step 2: Convert to fraction form
    201,744.10/302,713.35 = 142,452.10/x
  3. Step 3: Cross multiply
    201,744.10x = 302,713.35 × 142,452.10
  4. Step 4: Simplify right side
    201,744.10x = 43,122,152,405.54
  5. Step 5: Solve for x
    x = 43,122,152,405.54/201,744.10
  6. Step 6: Final answer
    x = 213,746.78

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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.