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Finding the Fourth Proportional to 245,945.44, 369,008.88 and 96,257.44

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Solution

The fourth proportional to 245,945.44, 369,008.88 and 96,257.44 is: 144,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,945.44 : 369,008.88 = 96,257.44 : x
  2. Step 2: Convert to fraction form
    245,945.44/369,008.88 = 96,257.44/x
  3. Step 3: Cross multiply
    245,945.44x = 369,008.88 × 96,257.44
  4. Step 4: Simplify right side
    245,945.44x = 35,519,850,126.07
  5. Step 5: Solve for x
    x = 35,519,850,126.07/245,945.44
  6. Step 6: Final answer
    x = 144,421.67

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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.