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Finding the Fourth Proportional to 295,849.50, 443,774.26 and 98,857.50

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Solution

The fourth proportional to 295,849.50, 443,774.26 and 98,857.50 is: 148,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,849.50 : 443,774.26 = 98,857.50 : x
  2. Step 2: Convert to fraction form
    295,849.50/443,774.26 = 98,857.50/x
  3. Step 3: Cross multiply
    295,849.50x = 443,774.26 × 98,857.50
  4. Step 4: Simplify right side
    295,849.50x = 43,870,413,907.95
  5. Step 5: Solve for x
    x = 43,870,413,907.95/295,849.50
  6. Step 6: Final answer
    x = 148,286.25

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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.