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Finding the Fourth Proportional to 257,043.35, 354,719.77 and 143,866.10

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Solution

The fourth proportional to 257,043.35, 354,719.77 and 143,866.10 is: 198,535.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,043.35 : 354,719.77 = 143,866.10 : x
  2. Step 2: Convert to fraction form
    257,043.35/354,719.77 = 143,866.10/x
  3. Step 3: Cross multiply
    257,043.35x = 354,719.77 × 143,866.10
  4. Step 4: Simplify right side
    257,043.35x = 51,032,149,902.80
  5. Step 5: Solve for x
    x = 51,032,149,902.80/257,043.35
  6. Step 6: Final answer
    x = 198,535.19

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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.