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Finding the Fourth Proportional to 294,164.36, 440,939.34 and 144,197

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Solution

The fourth proportional to 294,164.36, 440,939.34 and 144,197 is: 216,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,164.36 : 440,939.34 = 144,197 : x
  2. Step 2: Convert to fraction form
    294,164.36/440,939.34 = 144,197/x
  3. Step 3: Cross multiply
    294,164.36x = 440,939.34 × 144,197
  4. Step 4: Simplify right side
    294,164.36x = 63,582,130,009.98
  5. Step 5: Solve for x
    x = 63,582,130,009.98/294,164.36
  6. Step 6: Final answer
    x = 216,144.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.