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Finding the Fourth Proportional to 201,343.02, 302,016.35 and 61,101.64

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Solution

The fourth proportional to 201,343.02, 302,016.35 and 61,101.64 is: 91,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,343.02 : 302,016.35 = 61,101.64 : x
  2. Step 2: Convert to fraction form
    201,343.02/302,016.35 = 61,101.64/x
  3. Step 3: Cross multiply
    201,343.02x = 302,016.35 × 61,101.64
  4. Step 4: Simplify right side
    201,343.02x = 18,453,694,291.81
  5. Step 5: Solve for x
    x = 18,453,694,291.81/201,343.02
  6. Step 6: Final answer
    x = 91,653.01

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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.