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Finding the Fourth Proportional to 201,884.10, 302,498.10 and 173,671.80

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Solution

The fourth proportional to 201,884.10, 302,498.10 and 173,671.80 is: 260,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,884.10 : 302,498.10 = 173,671.80 : x
  2. Step 2: Convert to fraction form
    201,884.10/302,498.10 = 173,671.80/x
  3. Step 3: Cross multiply
    201,884.10x = 302,498.10 × 173,671.80
  4. Step 4: Simplify right side
    201,884.10x = 52,535,389,523.58
  5. Step 5: Solve for x
    x = 52,535,389,523.58/201,884.10
  6. Step 6: Final answer
    x = 260,225.49

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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.