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Finding the Fourth Proportional to 257,418.56, 355,237.28 and 144,242.08

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Solution

The fourth proportional to 257,418.56, 355,237.28 and 144,242.08 is: 199,053.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,418.56 : 355,237.28 = 144,242.08 : x
  2. Step 2: Convert to fraction form
    257,418.56/355,237.28 = 144,242.08/x
  3. Step 3: Cross multiply
    257,418.56x = 355,237.28 × 144,242.08
  4. Step 4: Simplify right side
    257,418.56x = 51,240,164,160.74
  5. Step 5: Solve for x
    x = 51,240,164,160.74/257,418.56
  6. Step 6: Final answer
    x = 199,053.88

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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.