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Finding the Fourth Proportional to 264,083.26, 364,481.47 and 156,712.50

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Solution

The fourth proportional to 264,083.26, 364,481.47 and 156,712.50 is: 216,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,083.26 : 364,481.47 = 156,712.50 : x
  2. Step 2: Convert to fraction form
    264,083.26/364,481.47 = 156,712.50/x
  3. Step 3: Cross multiply
    264,083.26x = 364,481.47 × 156,712.50
  4. Step 4: Simplify right side
    264,083.26x = 57,118,802,367.38
  5. Step 5: Solve for x
    x = 57,118,802,367.38/264,083.26
  6. Step 6: Final answer
    x = 216,290.89

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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.