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Finding the Fourth Proportional to 127,142.64, 190,764.06 and 48,277.80

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Solution

The fourth proportional to 127,142.64, 190,764.06 and 48,277.80 is: 72,435.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,142.64 : 190,764.06 = 48,277.80 : x
  2. Step 2: Convert to fraction form
    127,142.64/190,764.06 = 48,277.80/x
  3. Step 3: Cross multiply
    127,142.64x = 190,764.06 × 48,277.80
  4. Step 4: Simplify right side
    127,142.64x = 9,209,669,135.87
  5. Step 5: Solve for x
    x = 9,209,669,135.87/127,142.64
  6. Step 6: Final answer
    x = 72,435.72

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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.