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Finding the Fourth Proportional to 208,822.33, 288,174.96 and 113,329

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Solution

The fourth proportional to 208,822.33, 288,174.96 and 113,329 is: 156,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,822.33 : 288,174.96 = 113,329 : x
  2. Step 2: Convert to fraction form
    208,822.33/288,174.96 = 113,329/x
  3. Step 3: Cross multiply
    208,822.33x = 288,174.96 × 113,329
  4. Step 4: Simplify right side
    208,822.33x = 32,658,580,041.84
  5. Step 5: Solve for x
    x = 32,658,580,041.84/208,822.33
  6. Step 6: Final answer
    x = 156,394.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.