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Finding the Fourth Proportional to 229,020.40, 343,602.60 and 110,695.60

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Solution

The fourth proportional to 229,020.40, 343,602.60 and 110,695.60 is: 166,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,020.40 : 343,602.60 = 110,695.60 : x
  2. Step 2: Convert to fraction form
    229,020.40/343,602.60 = 110,695.60/x
  3. Step 3: Cross multiply
    229,020.40x = 343,602.60 × 110,695.60
  4. Step 4: Simplify right side
    229,020.40x = 38,035,295,968.56
  5. Step 5: Solve for x
    x = 38,035,295,968.56/229,020.40
  6. Step 6: Final answer
    x = 166,078.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.