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Finding the Fourth Proportional to 295,222.56, 442,840.68 and 105,695.88

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Solution

The fourth proportional to 295,222.56, 442,840.68 and 105,695.88 is: 158,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,222.56 : 442,840.68 = 105,695.88 : x
  2. Step 2: Convert to fraction form
    295,222.56/442,840.68 = 105,695.88/x
  3. Step 3: Cross multiply
    295,222.56x = 442,840.68 × 105,695.88
  4. Step 4: Simplify right side
    295,222.56x = 46,806,435,372.40
  5. Step 5: Solve for x
    x = 46,806,435,372.40/295,222.56
  6. Step 6: Final answer
    x = 158,546.27

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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.