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Finding the Fourth Proportional to 229,793.56, 317,027.98 and 142,538.18

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Solution

The fourth proportional to 229,793.56, 317,027.98 and 142,538.18 is: 196,648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,793.56 : 317,027.98 = 142,538.18 : x
  2. Step 2: Convert to fraction form
    229,793.56/317,027.98 = 142,538.18/x
  3. Step 3: Cross multiply
    229,793.56x = 317,027.98 × 142,538.18
  4. Step 4: Simplify right side
    229,793.56x = 45,188,590,852.81
  5. Step 5: Solve for x
    x = 45,188,590,852.81/229,793.56
  6. Step 6: Final answer
    x = 196,648.64

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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.