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Finding the Fourth Proportional to 144,975.96, 199,978.38 and 95,917.50

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Solution

The fourth proportional to 144,975.96, 199,978.38 and 95,917.50 is: 132,307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,975.96 : 199,978.38 = 95,917.50 : x
  2. Step 2: Convert to fraction form
    144,975.96/199,978.38 = 95,917.50/x
  3. Step 3: Cross multiply
    144,975.96x = 199,978.38 × 95,917.50
  4. Step 4: Simplify right side
    144,975.96x = 19,181,426,503.44
  5. Step 5: Solve for x
    x = 19,181,426,503.44/144,975.96
  6. Step 6: Final answer
    x = 132,307.64

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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.