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Finding the Fourth Proportional to 229,882.92, 317,233.44 and 133,090.86

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Solution

The fourth proportional to 229,882.92, 317,233.44 and 133,090.86 is: 183,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,882.92 : 317,233.44 = 133,090.86 : x
  2. Step 2: Convert to fraction form
    229,882.92/317,233.44 = 133,090.86/x
  3. Step 3: Cross multiply
    229,882.92x = 317,233.44 × 133,090.86
  4. Step 4: Simplify right side
    229,882.92x = 42,220,871,350.36
  5. Step 5: Solve for x
    x = 42,220,871,350.36/229,882.92
  6. Step 6: Final answer
    x = 183,662.50

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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.