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Finding the Fourth Proportional to 306,418.65, 459,630.01 and 106,742.81

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Solution

The fourth proportional to 306,418.65, 459,630.01 and 106,742.81 is: 160,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,418.65 : 459,630.01 = 106,742.81 : x
  2. Step 2: Convert to fraction form
    306,418.65/459,630.01 = 106,742.81/x
  3. Step 3: Cross multiply
    306,418.65x = 459,630.01 × 106,742.81
  4. Step 4: Simplify right side
    306,418.65x = 49,062,200,110.23
  5. Step 5: Solve for x
    x = 49,062,200,110.23/306,418.65
  6. Step 6: Final answer
    x = 160,114.93

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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.