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Finding the Fourth Proportional to 209,034.57, 314,946.43 and 189,067.11

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Solution

The fourth proportional to 209,034.57, 314,946.43 and 189,067.11 is: 284,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,034.57 : 314,946.43 = 189,067.11 : x
  2. Step 2: Convert to fraction form
    209,034.57/314,946.43 = 189,067.11/x
  3. Step 3: Cross multiply
    209,034.57x = 314,946.43 × 189,067.11
  4. Step 4: Simplify right side
    209,034.57x = 59,546,009,671.20
  5. Step 5: Solve for x
    x = 59,546,009,671.20/209,034.57
  6. Step 6: Final answer
    x = 284,862.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.