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Finding the Fourth Proportional to 223,564.48, 308,362.76 and 151,819.96

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Solution

The fourth proportional to 223,564.48, 308,362.76 and 151,819.96 is: 209,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,564.48 : 308,362.76 = 151,819.96 : x
  2. Step 2: Convert to fraction form
    223,564.48/308,362.76 = 151,819.96/x
  3. Step 3: Cross multiply
    223,564.48x = 308,362.76 × 151,819.96
  4. Step 4: Simplify right side
    223,564.48x = 46,815,621,888.69
  5. Step 5: Solve for x
    x = 46,815,621,888.69/223,564.48
  6. Step 6: Final answer
    x = 209,405.46

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Why These Related Problems?

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