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Finding the Fourth Proportional to 293,563.86, 405,118.10 and 166,264.06

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Solution

The fourth proportional to 293,563.86, 405,118.10 and 166,264.06 is: 229,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,563.86 : 405,118.10 = 166,264.06 : x
  2. Step 2: Convert to fraction form
    293,563.86/405,118.10 = 166,264.06/x
  3. Step 3: Cross multiply
    293,563.86x = 405,118.10 × 166,264.06
  4. Step 4: Simplify right side
    293,563.86x = 67,356,579,488.35
  5. Step 5: Solve for x
    x = 67,356,579,488.35/293,563.86
  6. Step 6: Final answer
    x = 229,444.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.