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Finding the Fourth Proportional to 136,852.40, 205,432.20 and 105,825.20

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Solution

The fourth proportional to 136,852.40, 205,432.20 and 105,825.20 is: 158,856.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,852.40 : 205,432.20 = 105,825.20 : x
  2. Step 2: Convert to fraction form
    136,852.40/205,432.20 = 105,825.20/x
  3. Step 3: Cross multiply
    136,852.40x = 205,432.20 × 105,825.20
  4. Step 4: Simplify right side
    136,852.40x = 21,739,903,651.44
  5. Step 5: Solve for x
    x = 21,739,903,651.44/136,852.40
  6. Step 6: Final answer
    x = 158,856.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.