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Finding the Fourth Proportional to 293,089.98, 404,485.92 and 164,041.38

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Solution

The fourth proportional to 293,089.98, 404,485.92 and 164,041.38 is: 226,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,089.98 : 404,485.92 = 164,041.38 : x
  2. Step 2: Convert to fraction form
    293,089.98/404,485.92 = 164,041.38/x
  3. Step 3: Cross multiply
    293,089.98x = 404,485.92 × 164,041.38
  4. Step 4: Simplify right side
    293,089.98x = 66,352,428,507.37
  5. Step 5: Solve for x
    x = 66,352,428,507.37/293,089.98
  6. Step 6: Final answer
    x = 226,389.28

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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.