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Finding the Fourth Proportional to 182,259.38, 251,354.23 and 114,283.77

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Solution

The fourth proportional to 182,259.38, 251,354.23 and 114,283.77 is: 157,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,259.38 : 251,354.23 = 114,283.77 : x
  2. Step 2: Convert to fraction form
    182,259.38/251,354.23 = 114,283.77/x
  3. Step 3: Cross multiply
    182,259.38x = 251,354.23 × 114,283.77
  4. Step 4: Simplify right side
    182,259.38x = 28,725,709,009.85
  5. Step 5: Solve for x
    x = 28,725,709,009.85/182,259.38
  6. Step 6: Final answer
    x = 157,608.95

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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.