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Finding the Fourth Proportional to 229,802.56, 344,701.26 and 89,659.60

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Solution

The fourth proportional to 229,802.56, 344,701.26 and 89,659.60 is: 134,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,802.56 : 344,701.26 = 89,659.60 : x
  2. Step 2: Convert to fraction form
    229,802.56/344,701.26 = 89,659.60/x
  3. Step 3: Cross multiply
    229,802.56x = 344,701.26 × 89,659.60
  4. Step 4: Simplify right side
    229,802.56x = 30,905,777,091.10
  5. Step 5: Solve for x
    x = 30,905,777,091.10/229,802.56
  6. Step 6: Final answer
    x = 134,488.39

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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.