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Finding the Fourth Proportional to 195,543, 269,852.58 and 106,119

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Solution

The fourth proportional to 195,543, 269,852.58 and 106,119 is: 146,445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,543 : 269,852.58 = 106,119 : x
  2. Step 2: Convert to fraction form
    195,543/269,852.58 = 106,119/x
  3. Step 3: Cross multiply
    195,543x = 269,852.58 × 106,119
  4. Step 4: Simplify right side
    195,543x = 28,636,485,937.02
  5. Step 5: Solve for x
    x = 28,636,485,937.02/195,543
  6. Step 6: Final answer
    x = 146,445.98

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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.