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Finding the Fourth Proportional to 229,768.02, 317,074.32 and 127,793.18

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Solution

The fourth proportional to 229,768.02, 317,074.32 and 127,793.18 is: 176,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,768.02 : 317,074.32 = 127,793.18 : x
  2. Step 2: Convert to fraction form
    229,768.02/317,074.32 = 127,793.18/x
  3. Step 3: Cross multiply
    229,768.02x = 317,074.32 × 127,793.18
  4. Step 4: Simplify right side
    229,768.02x = 40,519,934,063.77
  5. Step 5: Solve for x
    x = 40,519,934,063.77/229,768.02
  6. Step 6: Final answer
    x = 176,351.50

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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.