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Finding the Fourth Proportional to 302,140.20, 416,920.77 and 174,792

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Solution

The fourth proportional to 302,140.20, 416,920.77 and 174,792 is: 241,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,140.20 : 416,920.77 = 174,792 : x
  2. Step 2: Convert to fraction form
    302,140.20/416,920.77 = 174,792/x
  3. Step 3: Cross multiply
    302,140.20x = 416,920.77 × 174,792
  4. Step 4: Simplify right side
    302,140.20x = 72,874,415,229.84
  5. Step 5: Solve for x
    x = 72,874,415,229.84/302,140.20
  6. Step 6: Final answer
    x = 241,194.04

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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.