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Finding the Fourth Proportional to 205,373.61, 308,131.49 and 146,667.24

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Solution

The fourth proportional to 205,373.61, 308,131.49 and 146,667.24 is: 220,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,373.61 : 308,131.49 = 146,667.24 : x
  2. Step 2: Convert to fraction form
    205,373.61/308,131.49 = 146,667.24/x
  3. Step 3: Cross multiply
    205,373.61x = 308,131.49 × 146,667.24
  4. Step 4: Simplify right side
    205,373.61x = 45,192,795,562.06
  5. Step 5: Solve for x
    x = 45,192,795,562.06/205,373.61
  6. Step 6: Final answer
    x = 220,051.62

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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.