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Finding the Fourth Proportional to 127,188.30, 190,809.44 and 48,300.78

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Solution

The fourth proportional to 127,188.30, 190,809.44 and 48,300.78 is: 72,461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,188.30 : 190,809.44 = 48,300.78 : x
  2. Step 2: Convert to fraction form
    127,188.30/190,809.44 = 48,300.78/x
  3. Step 3: Cross multiply
    127,188.30x = 190,809.44 × 48,300.78
  4. Step 4: Simplify right side
    127,188.30x = 9,216,244,541.86
  5. Step 5: Solve for x
    x = 9,216,244,541.86/127,188.30
  6. Step 6: Final answer
    x = 72,461.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.