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Finding the Fourth Proportional to 257,315.60, 355,091.64 and 144,142.40

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Solution

The fourth proportional to 257,315.60, 355,091.64 and 144,142.40 is: 198,914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,315.60 : 355,091.64 = 144,142.40 : x
  2. Step 2: Convert to fraction form
    257,315.60/355,091.64 = 144,142.40/x
  3. Step 3: Cross multiply
    257,315.60x = 355,091.64 × 144,142.40
  4. Step 4: Simplify right side
    257,315.60x = 51,183,761,209.54
  5. Step 5: Solve for x
    x = 51,183,761,209.54/257,315.60
  6. Step 6: Final answer
    x = 198,914.33

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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.