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Finding the Fourth Proportional to 364,071.68, 546,205.92 and 111,361.04

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Solution

The fourth proportional to 364,071.68, 546,205.92 and 111,361.04 is: 167,071.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,071.68 : 546,205.92 = 111,361.04 : x
  2. Step 2: Convert to fraction form
    364,071.68/546,205.92 = 111,361.04/x
  3. Step 3: Cross multiply
    364,071.68x = 546,205.92 × 111,361.04
  4. Step 4: Simplify right side
    364,071.68x = 60,826,059,305.36
  5. Step 5: Solve for x
    x = 60,826,059,305.36/364,071.68
  6. Step 6: Final answer
    x = 167,071.66

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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.