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Finding the Fourth Proportional to 209,671.60, 289,336.94 and 119,015.60

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Solution

The fourth proportional to 209,671.60, 289,336.94 and 119,015.60 is: 164,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,671.60 : 289,336.94 = 119,015.60 : x
  2. Step 2: Convert to fraction form
    209,671.60/289,336.94 = 119,015.60/x
  3. Step 3: Cross multiply
    209,671.60x = 289,336.94 × 119,015.60
  4. Step 4: Simplify right side
    209,671.60x = 34,435,609,516.26
  5. Step 5: Solve for x
    x = 34,435,609,516.26/209,671.60
  6. Step 6: Final answer
    x = 164,235.93

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1.5x scale

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.