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Finding the Fourth Proportional to 164,219.60, 246,329.40 and 157,658.60

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Solution

The fourth proportional to 164,219.60, 246,329.40 and 157,658.60 is: 236,487.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,219.60 : 246,329.40 = 157,658.60 : x
  2. Step 2: Convert to fraction form
    164,219.60/246,329.40 = 157,658.60/x
  3. Step 3: Cross multiply
    164,219.60x = 246,329.40 × 157,658.60
  4. Step 4: Simplify right side
    164,219.60x = 38,835,948,342.84
  5. Step 5: Solve for x
    x = 38,835,948,342.84/164,219.60
  6. Step 6: Final answer
    x = 236,487.90

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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.