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Finding the Fourth Proportional to 195,259.50, 269,458.11 and 105,835.50

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Solution

The fourth proportional to 195,259.50, 269,458.11 and 105,835.50 is: 146,052.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,259.50 : 269,458.11 = 105,835.50 : x
  2. Step 2: Convert to fraction form
    195,259.50/269,458.11 = 105,835.50/x
  3. Step 3: Cross multiply
    195,259.50x = 269,458.11 × 105,835.50
  4. Step 4: Simplify right side
    195,259.50x = 28,518,233,800.91
  5. Step 5: Solve for x
    x = 28,518,233,800.91/195,259.50
  6. Step 6: Final answer
    x = 146,052.99

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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.