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Finding the Fourth Proportional to 295,742.54, 408,124.88 and 159,776.45

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Solution

The fourth proportional to 295,742.54, 408,124.88 and 159,776.45 is: 220,491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,742.54 : 408,124.88 = 159,776.45 : x
  2. Step 2: Convert to fraction form
    295,742.54/408,124.88 = 159,776.45/x
  3. Step 3: Cross multiply
    295,742.54x = 408,124.88 × 159,776.45
  4. Step 4: Simplify right side
    295,742.54x = 65,208,743,773.20
  5. Step 5: Solve for x
    x = 65,208,743,773.20/295,742.54
  6. Step 6: Final answer
    x = 220,491.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.