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Finding the Fourth Proportional to 293,772, 440,656.92 and 83,409.96

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Solution

The fourth proportional to 293,772, 440,656.92 and 83,409.96 is: 125,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,772 : 440,656.92 = 83,409.96 : x
  2. Step 2: Convert to fraction form
    293,772/440,656.92 = 83,409.96/x
  3. Step 3: Cross multiply
    293,772x = 440,656.92 × 83,409.96
  4. Step 4: Simplify right side
    293,772x = 36,755,176,070.92
  5. Step 5: Solve for x
    x = 36,755,176,070.92/293,772
  6. Step 6: Final answer
    x = 125,114.63

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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.