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Finding the Fourth Proportional to 127,957.80, 191,936.70 and 98,433.30

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Solution

The fourth proportional to 127,957.80, 191,936.70 and 98,433.30 is: 147,649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,957.80 : 191,936.70 = 98,433.30 : x
  2. Step 2: Convert to fraction form
    127,957.80/191,936.70 = 98,433.30/x
  3. Step 3: Cross multiply
    127,957.80x = 191,936.70 × 98,433.30
  4. Step 4: Simplify right side
    127,957.80x = 18,892,962,772.11
  5. Step 5: Solve for x
    x = 18,892,962,772.11/127,957.80
  6. Step 6: Final answer
    x = 147,649.95

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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.