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Finding the Fourth Proportional to 201,742.64, 302,575 and 61,515.44

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Solution

The fourth proportional to 201,742.64, 302,575 and 61,515.44 is: 92,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,742.64 : 302,575 = 61,515.44 : x
  2. Step 2: Convert to fraction form
    201,742.64/302,575 = 61,515.44/x
  3. Step 3: Cross multiply
    201,742.64x = 302,575 × 61,515.44
  4. Step 4: Simplify right side
    201,742.64x = 18,613,034,258
  5. Step 5: Solve for x
    x = 18,613,034,258/201,742.64
  6. Step 6: Final answer
    x = 92,261.28

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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.