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Finding the Fourth Proportional to 295,062.21, 442,484.87 and 105,471.41

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Solution

The fourth proportional to 295,062.21, 442,484.87 and 105,471.41 is: 158,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,062.21 : 442,484.87 = 105,471.41 : x
  2. Step 2: Convert to fraction form
    295,062.21/442,484.87 = 105,471.41/x
  3. Step 3: Cross multiply
    295,062.21x = 442,484.87 × 105,471.41
  4. Step 4: Simplify right side
    295,062.21x = 46,669,500,402.79
  5. Step 5: Solve for x
    x = 46,669,500,402.79/295,062.21
  6. Step 6: Final answer
    x = 158,168.34

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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.