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Finding the Fourth Proportional to 519,109.50, 778,659.30 and 164,123.46

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Solution

The fourth proportional to 519,109.50, 778,659.30 and 164,123.46 is: 246,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,109.50 : 778,659.30 = 164,123.46 : x
  2. Step 2: Convert to fraction form
    519,109.50/778,659.30 = 164,123.46/x
  3. Step 3: Cross multiply
    519,109.50x = 778,659.30 × 164,123.46
  4. Step 4: Simplify right side
    519,109.50x = 127,796,258,477.18
  5. Step 5: Solve for x
    x = 127,796,258,477.18/519,109.50
  6. Step 6: Final answer
    x = 246,183.62

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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.