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Finding the Fourth Proportional to 257,039.34, 354,847.44 and 160,271.88

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Solution

The fourth proportional to 257,039.34, 354,847.44 and 160,271.88 is: 221,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,039.34 : 354,847.44 = 160,271.88 : x
  2. Step 2: Convert to fraction form
    257,039.34/354,847.44 = 160,271.88/x
  3. Step 3: Cross multiply
    257,039.34x = 354,847.44 × 160,271.88
  4. Step 4: Simplify right side
    257,039.34x = 56,872,066,321.99
  5. Step 5: Solve for x
    x = 56,872,066,321.99/257,039.34
  6. Step 6: Final answer
    x = 221,258.22

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