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Finding the Fourth Proportional to 306,401.54, 459,602.51 and 96,055.88

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Solution

The fourth proportional to 306,401.54, 459,602.51 and 96,055.88 is: 144,083.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,401.54 : 459,602.51 = 96,055.88 : x
  2. Step 2: Convert to fraction form
    306,401.54/459,602.51 = 96,055.88/x
  3. Step 3: Cross multiply
    306,401.54x = 459,602.51 × 96,055.88
  4. Step 4: Simplify right side
    306,401.54x = 44,147,520,769.97
  5. Step 5: Solve for x
    x = 44,147,520,769.97/306,401.54
  6. Step 6: Final answer
    x = 144,083.88

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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.