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Finding the Fourth Proportional to 182,390.94, 251,703.72 and 114,410.78

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Solution

The fourth proportional to 182,390.94, 251,703.72 and 114,410.78 is: 157,889.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,390.94 : 251,703.72 = 114,410.78 : x
  2. Step 2: Convert to fraction form
    182,390.94/251,703.72 = 114,410.78/x
  3. Step 3: Cross multiply
    182,390.94x = 251,703.72 × 114,410.78
  4. Step 4: Simplify right side
    182,390.94x = 28,797,617,675.58
  5. Step 5: Solve for x
    x = 28,797,617,675.58/182,390.94
  6. Step 6: Final answer
    x = 157,889.52

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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.