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Finding the Fourth Proportional to 208,694.98, 312,785.92 and 96,219.07

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Solution

The fourth proportional to 208,694.98, 312,785.92 and 96,219.07 is: 144,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,694.98 : 312,785.92 = 96,219.07 : x
  2. Step 2: Convert to fraction form
    208,694.98/312,785.92 = 96,219.07/x
  3. Step 3: Cross multiply
    208,694.98x = 312,785.92 × 96,219.07
  4. Step 4: Simplify right side
    208,694.98x = 30,095,970,331.49
  5. Step 5: Solve for x
    x = 30,095,970,331.49/208,694.98
  6. Step 6: Final answer
    x = 144,210.32

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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.