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Finding the Fourth Proportional to 257,692.18, 355,603.20 and 142,969.60

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Solution

The fourth proportional to 257,692.18, 355,603.20 and 142,969.60 is: 197,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,692.18 : 355,603.20 = 142,969.60 : x
  2. Step 2: Convert to fraction form
    257,692.18/355,603.20 = 142,969.60/x
  3. Step 3: Cross multiply
    257,692.18x = 355,603.20 × 142,969.60
  4. Step 4: Simplify right side
    257,692.18x = 50,840,447,171.09
  5. Step 5: Solve for x
    x = 50,840,447,171.09/257,692.18
  6. Step 6: Final answer
    x = 197,291.39

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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.