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Finding the Fourth Proportional to 306,077.75, 459,143.09 and 84,461.75

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Solution

The fourth proportional to 306,077.75, 459,143.09 and 84,461.75 is: 126,699.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,077.75 : 459,143.09 = 84,461.75 : x
  2. Step 2: Convert to fraction form
    306,077.75/459,143.09 = 84,461.75/x
  3. Step 3: Cross multiply
    306,077.75x = 459,143.09 × 84,461.75
  4. Step 4: Simplify right side
    306,077.75x = 38,780,028,881.81
  5. Step 5: Solve for x
    x = 38,780,028,881.81/306,077.75
  6. Step 6: Final answer
    x = 126,699.93

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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.