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Finding the Fourth Proportional to 205,746.60, 308,619.90 and 100,770.60

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Solution

The fourth proportional to 205,746.60, 308,619.90 and 100,770.60 is: 151,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,746.60 : 308,619.90 = 100,770.60 : x
  2. Step 2: Convert to fraction form
    205,746.60/308,619.90 = 100,770.60/x
  3. Step 3: Cross multiply
    205,746.60x = 308,619.90 × 100,770.60
  4. Step 4: Simplify right side
    205,746.60x = 31,099,812,494.94
  5. Step 5: Solve for x
    x = 31,099,812,494.94/205,746.60
  6. Step 6: Final answer
    x = 151,155.90

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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.