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Finding the Fourth Proportional to 171,909.70, 257,929.35 and 83,241.70

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Solution

The fourth proportional to 171,909.70, 257,929.35 and 83,241.70 is: 124,893.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,909.70 : 257,929.35 = 83,241.70 : x
  2. Step 2: Convert to fraction form
    171,909.70/257,929.35 = 83,241.70/x
  3. Step 3: Cross multiply
    171,909.70x = 257,929.35 × 83,241.70
  4. Step 4: Simplify right side
    171,909.70x = 21,470,477,573.90
  5. Step 5: Solve for x
    x = 21,470,477,573.90/171,909.70
  6. Step 6: Final answer
    x = 124,893.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.