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Finding the Fourth Proportional to 229,786.81, 317,101.24 and 127,810.08

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Solution

The fourth proportional to 229,786.81, 317,101.24 and 127,810.08 is: 176,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,786.81 : 317,101.24 = 127,810.08 : x
  2. Step 2: Convert to fraction form
    229,786.81/317,101.24 = 127,810.08/x
  3. Step 3: Cross multiply
    229,786.81x = 317,101.24 × 127,810.08
  4. Step 4: Simplify right side
    229,786.81x = 40,528,734,300.15
  5. Step 5: Solve for x
    x = 40,528,734,300.15/229,786.81
  6. Step 6: Final answer
    x = 176,375.37

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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.