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Finding the Fourth Proportional to 209,899.80, 314,849.70 and 209,899.80

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Solution

The fourth proportional to 209,899.80, 314,849.70 and 209,899.80 is: 314,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,899.80 : 314,849.70 = 209,899.80 : x
  2. Step 2: Convert to fraction form
    209,899.80/314,849.70 = 209,899.80/x
  3. Step 3: Cross multiply
    209,899.80x = 314,849.70 × 209,899.80
  4. Step 4: Simplify right side
    209,899.80x = 66,086,889,060.06
  5. Step 5: Solve for x
    x = 66,086,889,060.06/209,899.80
  6. Step 6: Final answer
    x = 314,849.70

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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.