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Finding the Fourth Proportional to 195,225.50, 269,411.37 and 105,801.50

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Solution

The fourth proportional to 195,225.50, 269,411.37 and 105,801.50 is: 146,006.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,225.50 : 269,411.37 = 105,801.50 : x
  2. Step 2: Convert to fraction form
    195,225.50/269,411.37 = 105,801.50/x
  3. Step 3: Cross multiply
    195,225.50x = 269,411.37 × 105,801.50
  4. Step 4: Simplify right side
    195,225.50x = 28,504,127,063.06
  5. Step 5: Solve for x
    x = 28,504,127,063.06/195,225.50
  6. Step 6: Final answer
    x = 146,006.17

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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.