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Finding the Fourth Proportional to 306,063.20, 459,094.80 and 106,317.20

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Solution

The fourth proportional to 306,063.20, 459,094.80 and 106,317.20 is: 159,475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,063.20 : 459,094.80 = 106,317.20 : x
  2. Step 2: Convert to fraction form
    306,063.20/459,094.80 = 106,317.20/x
  3. Step 3: Cross multiply
    306,063.20x = 459,094.80 × 106,317.20
  4. Step 4: Simplify right side
    306,063.20x = 48,809,673,670.56
  5. Step 5: Solve for x
    x = 48,809,673,670.56/306,063.20
  6. Step 6: Final answer
    x = 159,475.80

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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.