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Finding the Fourth Proportional to 205,376.64, 308,073.60 and 100,288.32

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Solution

The fourth proportional to 205,376.64, 308,073.60 and 100,288.32 is: 150,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,376.64 : 308,073.60 = 100,288.32 : x
  2. Step 2: Convert to fraction form
    205,376.64/308,073.60 = 100,288.32/x
  3. Step 3: Cross multiply
    205,376.64x = 308,073.60 × 100,288.32
  4. Step 4: Simplify right side
    205,376.64x = 30,896,183,780.35
  5. Step 5: Solve for x
    x = 30,896,183,780.35/205,376.64
  6. Step 6: Final answer
    x = 150,436.70

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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.