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Finding the Fourth Proportional to 201,406.23, 302,109.35 and 95,905.35

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Solution

The fourth proportional to 201,406.23, 302,109.35 and 95,905.35 is: 143,858.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,406.23 : 302,109.35 = 95,905.35 : x
  2. Step 2: Convert to fraction form
    201,406.23/302,109.35 = 95,905.35/x
  3. Step 3: Cross multiply
    201,406.23x = 302,109.35 × 95,905.35
  4. Step 4: Simplify right side
    201,406.23x = 28,973,902,470.50
  5. Step 5: Solve for x
    x = 28,973,902,470.50/201,406.23
  6. Step 6: Final answer
    x = 143,858.03

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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.