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Finding the Fourth Proportional to 223,200.36, 307,902.24 and 142,543.08

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Solution

The fourth proportional to 223,200.36, 307,902.24 and 142,543.08 is: 196,636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,200.36 : 307,902.24 = 142,543.08 : x
  2. Step 2: Convert to fraction form
    223,200.36/307,902.24 = 142,543.08/x
  3. Step 3: Cross multiply
    223,200.36x = 307,902.24 × 142,543.08
  4. Step 4: Simplify right side
    223,200.36x = 43,889,333,628.50
  5. Step 5: Solve for x
    x = 43,889,333,628.50/223,200.36
  6. Step 6: Final answer
    x = 196,636.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.