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Finding the Fourth Proportional to 313,077.76, 469,191.68 and 144,226.56

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Solution

The fourth proportional to 313,077.76, 469,191.68 and 144,226.56 is: 216,144.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,077.76 : 469,191.68 = 144,226.56 : x
  2. Step 2: Convert to fraction form
    313,077.76/469,191.68 = 144,226.56/x
  3. Step 3: Cross multiply
    313,077.76x = 469,191.68 × 144,226.56
  4. Step 4: Simplify right side
    313,077.76x = 67,669,901,987.02
  5. Step 5: Solve for x
    x = 67,669,901,987.02/313,077.76
  6. Step 6: Final answer
    x = 216,144.07

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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.