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Finding the Fourth Proportional to 127,200.80, 190,647.60 and 64,839.20

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Solution

The fourth proportional to 127,200.80, 190,647.60 and 64,839.20 is: 97,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,200.80 : 190,647.60 = 64,839.20 : x
  2. Step 2: Convert to fraction form
    127,200.80/190,647.60 = 64,839.20/x
  3. Step 3: Cross multiply
    127,200.80x = 190,647.60 × 64,839.20
  4. Step 4: Simplify right side
    127,200.80x = 12,361,437,865.92
  5. Step 5: Solve for x
    x = 12,361,437,865.92/127,200.80
  6. Step 6: Final answer
    x = 97,180.50

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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.