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Finding the Fourth Proportional to 295,062.67, 442,485.28 and 105,471.82

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Solution

The fourth proportional to 295,062.67, 442,485.28 and 105,471.82 is: 158,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,062.67 : 442,485.28 = 105,471.82 : x
  2. Step 2: Convert to fraction form
    295,062.67/442,485.28 = 105,471.82/x
  3. Step 3: Cross multiply
    295,062.67x = 442,485.28 × 105,471.82
  4. Step 4: Simplify right side
    295,062.67x = 46,669,727,804.81
  5. Step 5: Solve for x
    x = 46,669,727,804.81/295,062.67
  6. Step 6: Final answer
    x = 158,168.87

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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.