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Finding the Fourth Proportional to 306,443.01, 459,664.52 and 96,097.35

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Solution

The fourth proportional to 306,443.01, 459,664.52 and 96,097.35 is: 144,146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,443.01 : 459,664.52 = 96,097.35 : x
  2. Step 2: Convert to fraction form
    306,443.01/459,664.52 = 96,097.35/x
  3. Step 3: Cross multiply
    306,443.01x = 459,664.52 × 96,097.35
  4. Step 4: Simplify right side
    306,443.01x = 44,172,541,780.54
  5. Step 5: Solve for x
    x = 44,172,541,780.54/306,443.01
  6. Step 6: Final answer
    x = 144,146.03

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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.