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Finding the Fourth Proportional to 257,868.21, 355,852.53 and 143,140.22

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Solution

The fourth proportional to 257,868.21, 355,852.53 and 143,140.22 is: 197,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,868.21 : 355,852.53 = 143,140.22 : x
  2. Step 2: Convert to fraction form
    257,868.21/355,852.53 = 143,140.22/x
  3. Step 3: Cross multiply
    257,868.21x = 355,852.53 × 143,140.22
  4. Step 4: Simplify right side
    257,868.21x = 50,936,807,652.49
  5. Step 5: Solve for x
    x = 50,936,807,652.49/257,868.21
  6. Step 6: Final answer
    x = 197,530.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.