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Finding the Fourth Proportional to 306,602.96, 459,773.15 and 106,864.25

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Solution

The fourth proportional to 306,602.96, 459,773.15 and 106,864.25 is: 160,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,602.96 : 459,773.15 = 106,864.25 : x
  2. Step 2: Convert to fraction form
    306,602.96/459,773.15 = 106,864.25/x
  3. Step 3: Cross multiply
    306,602.96x = 459,773.15 × 106,864.25
  4. Step 4: Simplify right side
    306,602.96x = 49,133,310,011.70
  5. Step 5: Solve for x
    x = 49,133,310,011.70/306,602.96
  6. Step 6: Final answer
    x = 160,250.61

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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.