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Finding the Fourth Proportional to 295,212.56, 442,825.60 and 105,685.88

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Solution

The fourth proportional to 295,212.56, 442,825.60 and 105,685.88 is: 158,531.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,212.56 : 442,825.60 = 105,685.88 : x
  2. Step 2: Convert to fraction form
    295,212.56/442,825.60 = 105,685.88/x
  3. Step 3: Cross multiply
    295,212.56x = 442,825.60 × 105,685.88
  4. Step 4: Simplify right side
    295,212.56x = 46,800,413,222.53
  5. Step 5: Solve for x
    x = 46,800,413,222.53/295,212.56
  6. Step 6: Final answer
    x = 158,531.24

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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.