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Finding the Fourth Proportional to 201,579.81, 302,422.44 and 75,221.16

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Solution

The fourth proportional to 201,579.81, 302,422.44 and 75,221.16 is: 112,851.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,579.81 : 302,422.44 = 75,221.16 : x
  2. Step 2: Convert to fraction form
    201,579.81/302,422.44 = 75,221.16/x
  3. Step 3: Cross multiply
    201,579.81x = 302,422.44 × 75,221.16
  4. Step 4: Simplify right side
    201,579.81x = 22,748,564,858.61
  5. Step 5: Solve for x
    x = 22,748,564,858.61/201,579.81
  6. Step 6: Final answer
    x = 112,851.41

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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.