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Finding the Fourth Proportional to 257,135.85, 354,843.59 and 143,962.65

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Solution

The fourth proportional to 257,135.85, 354,843.59 and 143,962.65 is: 198,666.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,135.85 : 354,843.59 = 143,962.65 : x
  2. Step 2: Convert to fraction form
    257,135.85/354,843.59 = 143,962.65/x
  3. Step 3: Cross multiply
    257,135.85x = 354,843.59 × 143,962.65
  4. Step 4: Simplify right side
    257,135.85x = 51,084,222,832.10
  5. Step 5: Solve for x
    x = 51,084,222,832.10/257,135.85
  6. Step 6: Final answer
    x = 198,666.28

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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.