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Finding the Fourth Proportional to 229,762.33, 317,080.79 and 127,795.18

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Solution

The fourth proportional to 229,762.33, 317,080.79 and 127,795.18 is: 176,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,762.33 : 317,080.79 = 127,795.18 : x
  2. Step 2: Convert to fraction form
    229,762.33/317,080.79 = 127,795.18/x
  3. Step 3: Cross multiply
    229,762.33x = 317,080.79 × 127,795.18
  4. Step 4: Simplify right side
    229,762.33x = 40,521,394,408.21
  5. Step 5: Solve for x
    x = 40,521,394,408.21/229,762.33
  6. Step 6: Final answer
    x = 176,362.22

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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.