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Finding the Fourth Proportional to 255,819.24, 353,253.42 and 160,489.80

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Solution

The fourth proportional to 255,819.24, 353,253.42 and 160,489.80 is: 221,615.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,819.24 : 353,253.42 = 160,489.80 : x
  2. Step 2: Convert to fraction form
    255,819.24/353,253.42 = 160,489.80/x
  3. Step 3: Cross multiply
    255,819.24x = 353,253.42 × 160,489.80
  4. Step 4: Simplify right side
    255,819.24x = 56,693,570,725.12
  5. Step 5: Solve for x
    x = 56,693,570,725.12/255,819.24
  6. Step 6: Final answer
    x = 221,615.74

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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.