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Finding the Fourth Proportional to 257,806.30, 355,767.34 and 143,078.28

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Solution

The fourth proportional to 257,806.30, 355,767.34 and 143,078.28 is: 197,445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,806.30 : 355,767.34 = 143,078.28 : x
  2. Step 2: Convert to fraction form
    257,806.30/355,767.34 = 143,078.28/x
  3. Step 3: Cross multiply
    257,806.30x = 355,767.34 × 143,078.28
  4. Step 4: Simplify right side
    257,806.30x = 50,902,579,087.38
  5. Step 5: Solve for x
    x = 50,902,579,087.38/257,806.30
  6. Step 6: Final answer
    x = 197,445.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.