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Finding the Fourth Proportional to 127,168, 190,752.01 and 48,282.27

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Solution

The fourth proportional to 127,168, 190,752.01 and 48,282.27 is: 72,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,168 : 190,752.01 = 48,282.27 : x
  2. Step 2: Convert to fraction form
    127,168/190,752.01 = 48,282.27/x
  3. Step 3: Cross multiply
    127,168x = 190,752.01 × 48,282.27
  4. Step 4: Simplify right side
    127,168x = 9,209,940,049.86
  5. Step 5: Solve for x
    x = 9,209,940,049.86/127,168
  6. Step 6: Final answer
    x = 72,423.41

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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.