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Finding the Fourth Proportional to 293,620.77, 405,225.10 and 164,581.16

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Solution

The fourth proportional to 293,620.77, 405,225.10 and 164,581.16 is: 227,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,620.77 : 405,225.10 = 164,581.16 : x
  2. Step 2: Convert to fraction form
    293,620.77/405,225.10 = 164,581.16/x
  3. Step 3: Cross multiply
    293,620.77x = 405,225.10 × 164,581.16
  4. Step 4: Simplify right side
    293,620.77x = 66,692,416,607.66
  5. Step 5: Solve for x
    x = 66,692,416,607.66/293,620.77
  6. Step 6: Final answer
    x = 227,137.94

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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.