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Finding the Fourth Proportional to 257,692.58, 355,615.08 and 144,517.76

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Solution

The fourth proportional to 257,692.58, 355,615.08 and 144,517.76 is: 199,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,692.58 : 355,615.08 = 144,517.76 : x
  2. Step 2: Convert to fraction form
    257,692.58/355,615.08 = 144,517.76/x
  3. Step 3: Cross multiply
    257,692.58x = 355,615.08 × 144,517.76
  4. Step 4: Simplify right side
    257,692.58x = 51,392,694,783.82
  5. Step 5: Solve for x
    x = 51,392,694,783.82/257,692.58
  6. Step 6: Final answer
    x = 199,434.13

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1.5x scale

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.