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Finding the Fourth Proportional to 214,540.36, 296,061.06 and 119,041.24

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Solution

The fourth proportional to 214,540.36, 296,061.06 and 119,041.24 is: 164,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,540.36 : 296,061.06 = 119,041.24 : x
  2. Step 2: Convert to fraction form
    214,540.36/296,061.06 = 119,041.24/x
  3. Step 3: Cross multiply
    214,540.36x = 296,061.06 × 119,041.24
  4. Step 4: Simplify right side
    214,540.36x = 35,243,475,698.11
  5. Step 5: Solve for x
    x = 35,243,475,698.11/214,540.36
  6. Step 6: Final answer
    x = 164,274.34

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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.