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Finding the Fourth Proportional to 195,409.96, 269,666.22 and 105,985.96

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Solution

The fourth proportional to 195,409.96, 269,666.22 and 105,985.96 is: 146,260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,409.96 : 269,666.22 = 105,985.96 : x
  2. Step 2: Convert to fraction form
    195,409.96/269,666.22 = 105,985.96/x
  3. Step 3: Cross multiply
    195,409.96x = 269,666.22 × 105,985.96
  4. Step 4: Simplify right side
    195,409.96x = 28,580,833,206.27
  5. Step 5: Solve for x
    x = 28,580,833,206.27/195,409.96
  6. Step 6: Final answer
    x = 146,260.88

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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.