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Finding the Fourth Proportional to 257,421.44, 355,251.20 and 144,240

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Solution

The fourth proportional to 257,421.44, 355,251.20 and 144,240 is: 199,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,421.44 : 355,251.20 = 144,240 : x
  2. Step 2: Convert to fraction form
    257,421.44/355,251.20 = 144,240/x
  3. Step 3: Cross multiply
    257,421.44x = 355,251.20 × 144,240
  4. Step 4: Simplify right side
    257,421.44x = 51,241,433,088
  5. Step 5: Solve for x
    x = 51,241,433,088/257,421.44
  6. Step 6: Final answer
    x = 199,056.59

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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.