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Finding the Fourth Proportional to 175,084.80, 262,918.80 and 96,255.60

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Solution

The fourth proportional to 175,084.80, 262,918.80 and 96,255.60 is: 144,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,084.80 : 262,918.80 = 96,255.60 : x
  2. Step 2: Convert to fraction form
    175,084.80/262,918.80 = 96,255.60/x
  3. Step 3: Cross multiply
    175,084.80x = 262,918.80 × 96,255.60
  4. Step 4: Simplify right side
    175,084.80x = 25,307,406,845.28
  5. Step 5: Solve for x
    x = 25,307,406,845.28/175,084.80
  6. Step 6: Final answer
    x = 144,543.71

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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.