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Finding the Fourth Proportional to 127,116.34, 190,724.72 and 48,251.50

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Solution

The fourth proportional to 127,116.34, 190,724.72 and 48,251.50 is: 72,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,116.34 : 190,724.72 = 48,251.50 : x
  2. Step 2: Convert to fraction form
    127,116.34/190,724.72 = 48,251.50/x
  3. Step 3: Cross multiply
    127,116.34x = 190,724.72 × 48,251.50
  4. Step 4: Simplify right side
    127,116.34x = 9,202,753,827.08
  5. Step 5: Solve for x
    x = 9,202,753,827.08/127,116.34
  6. Step 6: Final answer
    x = 72,396.31

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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.