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Finding the Fourth Proportional to 144,412.07, 199,349.30 and 87,843.11

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Solution

The fourth proportional to 144,412.07, 199,349.30 and 87,843.11 is: 121,260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,412.07 : 199,349.30 = 87,843.11 : x
  2. Step 2: Convert to fraction form
    144,412.07/199,349.30 = 87,843.11/x
  3. Step 3: Cross multiply
    144,412.07x = 199,349.30 × 87,843.11
  4. Step 4: Simplify right side
    144,412.07x = 17,511,461,711.18
  5. Step 5: Solve for x
    x = 17,511,461,711.18/144,412.07
  6. Step 6: Final answer
    x = 121,260.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.