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Finding the Fourth Proportional to 195,359, 269,595.54 and 105,935

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Solution

The fourth proportional to 195,359, 269,595.54 and 105,935 is: 146,190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,359 : 269,595.54 = 105,935 : x
  2. Step 2: Convert to fraction form
    195,359/269,595.54 = 105,935/x
  3. Step 3: Cross multiply
    195,359x = 269,595.54 × 105,935
  4. Step 4: Simplify right side
    195,359x = 28,559,603,529.90
  5. Step 5: Solve for x
    x = 28,559,603,529.90/195,359
  6. Step 6: Final answer
    x = 146,190.37

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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.