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Finding the Fourth Proportional to 310,529.20, 465,793.80 and 110,856.10

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Solution

The fourth proportional to 310,529.20, 465,793.80 and 110,856.10 is: 166,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,529.20 : 465,793.80 = 110,856.10 : x
  2. Step 2: Convert to fraction form
    310,529.20/465,793.80 = 110,856.10/x
  3. Step 3: Cross multiply
    310,529.20x = 465,793.80 × 110,856.10
  4. Step 4: Simplify right side
    310,529.20x = 51,636,084,072.18
  5. Step 5: Solve for x
    x = 51,636,084,072.18/310,529.20
  6. Step 6: Final answer
    x = 166,284.15

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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.