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Finding the Fourth Proportional to 105,316.74, 157,975.11 and 35,196.05

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Solution

The fourth proportional to 105,316.74, 157,975.11 and 35,196.05 is: 52,794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,316.74 : 157,975.11 = 35,196.05 : x
  2. Step 2: Convert to fraction form
    105,316.74/157,975.11 = 35,196.05/x
  3. Step 3: Cross multiply
    105,316.74x = 157,975.11 × 35,196.05
  4. Step 4: Simplify right side
    105,316.74x = 5,560,100,265.25
  5. Step 5: Solve for x
    x = 5,560,100,265.25/105,316.74
  6. Step 6: Final answer
    x = 52,794.08

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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.