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Finding the Fourth Proportional to 306,153.42, 459,234.81 and 116,624.31

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Solution

The fourth proportional to 306,153.42, 459,234.81 and 116,624.31 is: 174,938.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,153.42 : 459,234.81 = 116,624.31 : x
  2. Step 2: Convert to fraction form
    306,153.42/459,234.81 = 116,624.31/x
  3. Step 3: Cross multiply
    306,153.42x = 459,234.81 × 116,624.31
  4. Step 4: Simplify right side
    306,153.42x = 53,557,942,844.23
  5. Step 5: Solve for x
    x = 53,557,942,844.23/306,153.42
  6. Step 6: Final answer
    x = 174,938.25

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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.