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Finding the Fourth Proportional to 223,825.24, 308,908.35 and 128,313.46

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Solution

The fourth proportional to 223,825.24, 308,908.35 and 128,313.46 is: 177,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,825.24 : 308,908.35 = 128,313.46 : x
  2. Step 2: Convert to fraction form
    223,825.24/308,908.35 = 128,313.46/x
  3. Step 3: Cross multiply
    223,825.24x = 308,908.35 × 128,313.46
  4. Step 4: Simplify right side
    223,825.24x = 39,637,099,211.39
  5. Step 5: Solve for x
    x = 39,637,099,211.39/223,825.24
  6. Step 6: Final answer
    x = 177,089.50

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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.