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Finding the Fourth Proportional to 146,596.60, 219,851.70 and 57,820.60

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Solution

The fourth proportional to 146,596.60, 219,851.70 and 57,820.60 is: 86,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,596.60 : 219,851.70 = 57,820.60 : x
  2. Step 2: Convert to fraction form
    146,596.60/219,851.70 = 57,820.60/x
  3. Step 3: Cross multiply
    146,596.60x = 219,851.70 × 57,820.60
  4. Step 4: Simplify right side
    146,596.60x = 12,711,957,205.02
  5. Step 5: Solve for x
    x = 12,711,957,205.02/146,596.60
  6. Step 6: Final answer
    x = 86,713.86

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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.