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Finding the Fourth Proportional to 364,101.84, 546,215.31 and 111,376.26

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Solution

The fourth proportional to 364,101.84, 546,215.31 and 111,376.26 is: 167,083.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,101.84 : 546,215.31 = 111,376.26 : x
  2. Step 2: Convert to fraction form
    364,101.84/546,215.31 = 111,376.26/x
  3. Step 3: Cross multiply
    364,101.84x = 546,215.31 × 111,376.26
  4. Step 4: Simplify right side
    364,101.84x = 60,835,418,382.54
  5. Step 5: Solve for x
    x = 60,835,418,382.54/364,101.84
  6. Step 6: Final answer
    x = 167,083.52

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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.