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Finding the Fourth Proportional to 305,529.54, 421,681.44 and 178,205.13

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Solution

The fourth proportional to 305,529.54, 421,681.44 and 178,205.13 is: 245,952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,529.54 : 421,681.44 = 178,205.13 : x
  2. Step 2: Convert to fraction form
    305,529.54/421,681.44 = 178,205.13/x
  3. Step 3: Cross multiply
    305,529.54x = 421,681.44 × 178,205.13
  4. Step 4: Simplify right side
    305,529.54x = 75,145,796,502.06
  5. Step 5: Solve for x
    x = 75,145,796,502.06/305,529.54
  6. Step 6: Final answer
    x = 245,952.64

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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.