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Finding the Fourth Proportional to 257,503.77, 386,181.84 and 77,606.63

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Solution

The fourth proportional to 257,503.77, 386,181.84 and 77,606.63 is: 116,387.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,503.77 : 386,181.84 = 77,606.63 : x
  2. Step 2: Convert to fraction form
    257,503.77/386,181.84 = 77,606.63/x
  3. Step 3: Cross multiply
    257,503.77x = 386,181.84 × 77,606.63
  4. Step 4: Simplify right side
    257,503.77x = 29,970,269,238.69
  5. Step 5: Solve for x
    x = 29,970,269,238.69/257,503.77
  6. Step 6: Final answer
    x = 116,387.69

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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.