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Finding the Fourth Proportional to 208,083.20, 312,124.80 and 113,604.80

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Solution

The fourth proportional to 208,083.20, 312,124.80 and 113,604.80 is: 170,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,083.20 : 312,124.80 = 113,604.80 : x
  2. Step 2: Convert to fraction form
    208,083.20/312,124.80 = 113,604.80/x
  3. Step 3: Cross multiply
    208,083.20x = 312,124.80 × 113,604.80
  4. Step 4: Simplify right side
    208,083.20x = 35,458,875,479.04
  5. Step 5: Solve for x
    x = 35,458,875,479.04/208,083.20
  6. Step 6: Final answer
    x = 170,407.20

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1.5x scale

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.