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Finding the Fourth Proportional to 257,144.58, 354,875.85 and 143,973.54

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Solution

The fourth proportional to 257,144.58, 354,875.85 and 143,973.54 is: 198,692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,144.58 : 354,875.85 = 143,973.54 : x
  2. Step 2: Convert to fraction form
    257,144.58/354,875.85 = 143,973.54/x
  3. Step 3: Cross multiply
    257,144.58x = 354,875.85 × 143,973.54
  4. Step 4: Simplify right side
    257,144.58x = 51,092,732,385.01
  5. Step 5: Solve for x
    x = 51,092,732,385.01/257,144.58
  6. Step 6: Final answer
    x = 198,692.63

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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.