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Finding the Fourth Proportional to 214,784.36, 296,406.06 and 117,992.30

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Solution

The fourth proportional to 214,784.36, 296,406.06 and 117,992.30 is: 162,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,784.36 : 296,406.06 = 117,992.30 : x
  2. Step 2: Convert to fraction form
    214,784.36/296,406.06 = 117,992.30/x
  3. Step 3: Cross multiply
    214,784.36x = 296,406.06 × 117,992.30
  4. Step 4: Simplify right side
    214,784.36x = 34,973,632,753.34
  5. Step 5: Solve for x
    x = 34,973,632,753.34/214,784.36
  6. Step 6: Final answer
    x = 162,831.38

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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.