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Finding the Fourth Proportional to 306,551.63, 459,846.89 and 96,197.87

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Solution

The fourth proportional to 306,551.63, 459,846.89 and 96,197.87 is: 144,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,551.63 : 459,846.89 = 96,197.87 : x
  2. Step 2: Convert to fraction form
    306,551.63/459,846.89 = 96,197.87/x
  3. Step 3: Cross multiply
    306,551.63x = 459,846.89 × 96,197.87
  4. Step 4: Simplify right side
    306,551.63x = 44,236,291,344.12
  5. Step 5: Solve for x
    x = 44,236,291,344.12/306,551.63
  6. Step 6: Final answer
    x = 144,302.91

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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.