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Finding the Fourth Proportional to 201,322.80, 301,638.60 and 95,914.80

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Solution

The fourth proportional to 201,322.80, 301,638.60 and 95,914.80 is: 143,707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,322.80 : 301,638.60 = 95,914.80 : x
  2. Step 2: Convert to fraction form
    201,322.80/301,638.60 = 95,914.80/x
  3. Step 3: Cross multiply
    201,322.80x = 301,638.60 × 95,914.80
  4. Step 4: Simplify right side
    201,322.80x = 28,931,605,991.28
  5. Step 5: Solve for x
    x = 28,931,605,991.28/201,322.80
  6. Step 6: Final answer
    x = 143,707.55

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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.