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Finding the Fourth Proportional to 229,489.58, 344,369.10 and 96,359.60

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Solution

The fourth proportional to 229,489.58, 344,369.10 and 96,359.60 is: 144,595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,489.58 : 344,369.10 = 96,359.60 : x
  2. Step 2: Convert to fraction form
    229,489.58/344,369.10 = 96,359.60/x
  3. Step 3: Cross multiply
    229,489.58x = 344,369.10 × 96,359.60
  4. Step 4: Simplify right side
    229,489.58x = 33,183,268,728.36
  5. Step 5: Solve for x
    x = 33,183,268,728.36/229,489.58
  6. Step 6: Final answer
    x = 144,595.97

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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.