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Finding the Fourth Proportional to 227,999.65, 314,596.21 and 143,078.44

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Solution

The fourth proportional to 227,999.65, 314,596.21 and 143,078.44 is: 197,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,999.65 : 314,596.21 = 143,078.44 : x
  2. Step 2: Convert to fraction form
    227,999.65/314,596.21 = 143,078.44/x
  3. Step 3: Cross multiply
    227,999.65x = 314,596.21 × 143,078.44
  4. Step 4: Simplify right side
    227,999.65x = 45,011,934,241.32
  5. Step 5: Solve for x
    x = 45,011,934,241.32/227,999.65
  6. Step 6: Final answer
    x = 197,421.07

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1.5x scale

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.