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Finding the Fourth Proportional to 146,124.60, 219,065.40 and 61,949.40

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Solution

The fourth proportional to 146,124.60, 219,065.40 and 61,949.40 is: 92,872.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,124.60 : 219,065.40 = 61,949.40 : x
  2. Step 2: Convert to fraction form
    146,124.60/219,065.40 = 61,949.40/x
  3. Step 3: Cross multiply
    146,124.60x = 219,065.40 × 61,949.40
  4. Step 4: Simplify right side
    146,124.60x = 13,570,970,090.76
  5. Step 5: Solve for x
    x = 13,570,970,090.76/146,124.60
  6. Step 6: Final answer
    x = 92,872.59

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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.