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Finding the Fourth Proportional to 257,767.56, 386,495.82 and 115,587

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Solution

The fourth proportional to 257,767.56, 386,495.82 and 115,587 is: 173,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,767.56 : 386,495.82 = 115,587 : x
  2. Step 2: Convert to fraction form
    257,767.56/386,495.82 = 115,587/x
  3. Step 3: Cross multiply
    257,767.56x = 386,495.82 × 115,587
  4. Step 4: Simplify right side
    257,767.56x = 44,673,892,346.34
  5. Step 5: Solve for x
    x = 44,673,892,346.34/257,767.56
  6. Step 6: Final answer
    x = 173,310.76

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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.