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Finding the Fourth Proportional to 201,889.60, 302,506.35 and 173,677.30

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Solution

The fourth proportional to 201,889.60, 302,506.35 and 173,677.30 is: 260,233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,889.60 : 302,506.35 = 173,677.30 : x
  2. Step 2: Convert to fraction form
    201,889.60/302,506.35 = 173,677.30/x
  3. Step 3: Cross multiply
    201,889.60x = 302,506.35 × 173,677.30
  4. Step 4: Simplify right side
    201,889.60x = 52,538,486,100.86
  5. Step 5: Solve for x
    x = 52,538,486,100.86/201,889.60
  6. Step 6: Final answer
    x = 260,233.74

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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.