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Finding the Fourth Proportional to 257,742.36, 355,660.74 and 144,543.24

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Solution

The fourth proportional to 257,742.36, 355,660.74 and 144,543.24 is: 199,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,742.36 : 355,660.74 = 144,543.24 : x
  2. Step 2: Convert to fraction form
    257,742.36/355,660.74 = 144,543.24/x
  3. Step 3: Cross multiply
    257,742.36x = 355,660.74 × 144,543.24
  4. Step 4: Simplify right side
    257,742.36x = 51,408,355,700.40
  5. Step 5: Solve for x
    x = 51,408,355,700.40/257,742.36
  6. Step 6: Final answer
    x = 199,456.37

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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.