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Finding the Fourth Proportional to 229,556.54, 316,783.69 and 127,580.78

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Solution

The fourth proportional to 229,556.54, 316,783.69 and 127,580.78 is: 176,059.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,556.54 : 316,783.69 = 127,580.78 : x
  2. Step 2: Convert to fraction form
    229,556.54/316,783.69 = 127,580.78/x
  3. Step 3: Cross multiply
    229,556.54x = 316,783.69 × 127,580.78
  4. Step 4: Simplify right side
    229,556.54x = 40,415,508,358.61
  5. Step 5: Solve for x
    x = 40,415,508,358.61/229,556.54
  6. Step 6: Final answer
    x = 176,059.06

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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.