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Finding the Fourth Proportional to 257,876.90, 386,899.40 and 129,727.05

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Solution

The fourth proportional to 257,876.90, 386,899.40 and 129,727.05 is: 194,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,876.90 : 386,899.40 = 129,727.05 : x
  2. Step 2: Convert to fraction form
    257,876.90/386,899.40 = 129,727.05/x
  3. Step 3: Cross multiply
    257,876.90x = 386,899.40 × 129,727.05
  4. Step 4: Simplify right side
    257,876.90x = 50,191,316,682.21
  5. Step 5: Solve for x
    x = 50,191,316,682.21/257,876.90
  6. Step 6: Final answer
    x = 194,632.85

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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.