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Finding the Fourth Proportional to 257,783.64, 386,625.37 and 129,665.80

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Solution

The fourth proportional to 257,783.64, 386,625.37 and 129,665.80 is: 194,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,783.64 : 386,625.37 = 129,665.80 : x
  2. Step 2: Convert to fraction form
    257,783.64/386,625.37 = 129,665.80/x
  3. Step 3: Cross multiply
    257,783.64x = 386,625.37 × 129,665.80
  4. Step 4: Simplify right side
    257,783.64x = 50,132,087,253.02
  5. Step 5: Solve for x
    x = 50,132,087,253.02/257,783.64
  6. Step 6: Final answer
    x = 194,473.51

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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.