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Finding the Fourth Proportional to 209,938.80, 314,908.20 and 85,369.20

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Solution

The fourth proportional to 209,938.80, 314,908.20 and 85,369.20 is: 128,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,938.80 : 314,908.20 = 85,369.20 : x
  2. Step 2: Convert to fraction form
    209,938.80/314,908.20 = 85,369.20/x
  3. Step 3: Cross multiply
    209,938.80x = 314,908.20 × 85,369.20
  4. Step 4: Simplify right side
    209,938.80x = 26,883,461,107.44
  5. Step 5: Solve for x
    x = 26,883,461,107.44/209,938.80
  6. Step 6: Final answer
    x = 128,053.80

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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.