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Finding the Fourth Proportional to 146,730.78, 220,090.38 and 51,957.14

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Solution

The fourth proportional to 146,730.78, 220,090.38 and 51,957.14 is: 77,933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,730.78 : 220,090.38 = 51,957.14 : x
  2. Step 2: Convert to fraction form
    146,730.78/220,090.38 = 51,957.14/x
  3. Step 3: Cross multiply
    146,730.78x = 220,090.38 × 51,957.14
  4. Step 4: Simplify right side
    146,730.78x = 11,435,265,780.70
  5. Step 5: Solve for x
    x = 11,435,265,780.70/146,730.78
  6. Step 6: Final answer
    x = 77,933.65

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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.