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Finding the Fourth Proportional to 204,055.61, 281,583.14 and 113,405.67

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Solution

The fourth proportional to 204,055.61, 281,583.14 and 113,405.67 is: 156,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,055.61 : 281,583.14 = 113,405.67 : x
  2. Step 2: Convert to fraction form
    204,055.61/281,583.14 = 113,405.67/x
  3. Step 3: Cross multiply
    204,055.61x = 281,583.14 × 113,405.67
  4. Step 4: Simplify right side
    204,055.61x = 31,933,124,085.38
  5. Step 5: Solve for x
    x = 31,933,124,085.38/204,055.61
  6. Step 6: Final answer
    x = 156,492.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.