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Finding the Fourth Proportional to 201,742.20, 302,613.30 and 103,438.20

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Solution

The fourth proportional to 201,742.20, 302,613.30 and 103,438.20 is: 155,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,742.20 : 302,613.30 = 103,438.20 : x
  2. Step 2: Convert to fraction form
    201,742.20/302,613.30 = 103,438.20/x
  3. Step 3: Cross multiply
    201,742.20x = 302,613.30 × 103,438.20
  4. Step 4: Simplify right side
    201,742.20x = 31,301,775,048.06
  5. Step 5: Solve for x
    x = 31,301,775,048.06/201,742.20
  6. Step 6: Final answer
    x = 155,157.30

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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.