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Finding the Fourth Proportional to 279,802.54, 419,827.47 and 146,650.96

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Solution

The fourth proportional to 279,802.54, 419,827.47 and 146,650.96 is: 220,041.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,802.54 : 419,827.47 = 146,650.96 : x
  2. Step 2: Convert to fraction form
    279,802.54/419,827.47 = 146,650.96/x
  3. Step 3: Cross multiply
    279,802.54x = 419,827.47 × 146,650.96
  4. Step 4: Simplify right side
    279,802.54x = 61,568,101,509.87
  5. Step 5: Solve for x
    x = 61,568,101,509.87/279,802.54
  6. Step 6: Final answer
    x = 220,041.25

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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.