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Finding the Fourth Proportional to 306,057.60, 459,086.40 and 119,069.10

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Solution

The fourth proportional to 306,057.60, 459,086.40 and 119,069.10 is: 178,603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,057.60 : 459,086.40 = 119,069.10 : x
  2. Step 2: Convert to fraction form
    306,057.60/459,086.40 = 119,069.10/x
  3. Step 3: Cross multiply
    306,057.60x = 459,086.40 × 119,069.10
  4. Step 4: Simplify right side
    306,057.60x = 54,663,004,470.24
  5. Step 5: Solve for x
    x = 54,663,004,470.24/306,057.60
  6. Step 6: Final answer
    x = 178,603.65

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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.