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Finding the Fourth Proportional to 229,806.09, 317,108.19 and 127,814.94

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Solution

The fourth proportional to 229,806.09, 317,108.19 and 127,814.94 is: 176,371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,806.09 : 317,108.19 = 127,814.94 : x
  2. Step 2: Convert to fraction form
    229,806.09/317,108.19 = 127,814.94/x
  3. Step 3: Cross multiply
    229,806.09x = 317,108.19 × 127,814.94
  4. Step 4: Simplify right side
    229,806.09x = 40,531,164,278.36
  5. Step 5: Solve for x
    x = 40,531,164,278.36/229,806.09
  6. Step 6: Final answer
    x = 176,371.15

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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.