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Finding the Fourth Proportional to 209,951.80, 314,927.70 and 85,382.20

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Solution

The fourth proportional to 209,951.80, 314,927.70 and 85,382.20 is: 128,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,951.80 : 314,927.70 = 85,382.20 : x
  2. Step 2: Convert to fraction form
    209,951.80/314,927.70 = 85,382.20/x
  3. Step 3: Cross multiply
    209,951.80x = 314,927.70 × 85,382.20
  4. Step 4: Simplify right side
    209,951.80x = 26,889,219,866.94
  5. Step 5: Solve for x
    x = 26,889,219,866.94/209,951.80
  6. Step 6: Final answer
    x = 128,073.30

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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.