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Finding the Fourth Proportional to 229,802.60, 344,736.30 and 72,014.60

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Solution

The fourth proportional to 229,802.60, 344,736.30 and 72,014.60 is: 108,032.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,802.60 : 344,736.30 = 72,014.60 : x
  2. Step 2: Convert to fraction form
    229,802.60/344,736.30 = 72,014.60/x
  3. Step 3: Cross multiply
    229,802.60x = 344,736.30 × 72,014.60
  4. Step 4: Simplify right side
    229,802.60x = 24,826,046,749.98
  5. Step 5: Solve for x
    x = 24,826,046,749.98/229,802.60
  6. Step 6: Final answer
    x = 108,032.05

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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.