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Finding the Fourth Proportional to 180,092.34, 270,053.72 and 105,234.08

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Solution

The fourth proportional to 180,092.34, 270,053.72 and 105,234.08 is: 157,801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,092.34 : 270,053.72 = 105,234.08 : x
  2. Step 2: Convert to fraction form
    180,092.34/270,053.72 = 105,234.08/x
  3. Step 3: Cross multiply
    180,092.34x = 270,053.72 × 105,234.08
  4. Step 4: Simplify right side
    180,092.34x = 28,418,854,774.78
  5. Step 5: Solve for x
    x = 28,418,854,774.78/180,092.34
  6. Step 6: Final answer
    x = 157,801.57

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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.