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Finding the Fourth Proportional to 295,698.56, 408,064.14 and 159,732.50

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Solution

The fourth proportional to 295,698.56, 408,064.14 and 159,732.50 is: 220,430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,698.56 : 408,064.14 = 159,732.50 : x
  2. Step 2: Convert to fraction form
    295,698.56/408,064.14 = 159,732.50/x
  3. Step 3: Cross multiply
    295,698.56x = 408,064.14 × 159,732.50
  4. Step 4: Simplify right side
    295,698.56x = 65,181,103,202.23
  5. Step 5: Solve for x
    x = 65,181,103,202.23/295,698.56
  6. Step 6: Final answer
    x = 220,430.92

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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.