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Finding the Fourth Proportional to 306,412.92, 459,619.52 and 96,067.26

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Solution

The fourth proportional to 306,412.92, 459,619.52 and 96,067.26 is: 144,100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,412.92 : 459,619.52 = 96,067.26 : x
  2. Step 2: Convert to fraction form
    306,412.92/459,619.52 = 96,067.26/x
  3. Step 3: Cross multiply
    306,412.92x = 459,619.52 × 96,067.26
  4. Step 4: Simplify right side
    306,412.92x = 44,154,387,928.92
  5. Step 5: Solve for x
    x = 44,154,387,928.92/306,412.92
  6. Step 6: Final answer
    x = 144,100.93

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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.