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Finding the Fourth Proportional to 127,280.91, 190,945.92 and 48,388.98

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Solution

The fourth proportional to 127,280.91, 190,945.92 and 48,388.98 is: 72,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,280.91 : 190,945.92 = 48,388.98 : x
  2. Step 2: Convert to fraction form
    127,280.91/190,945.92 = 48,388.98/x
  3. Step 3: Cross multiply
    127,280.91x = 190,945.92 × 48,388.98
  4. Step 4: Simplify right side
    127,280.91x = 9,239,678,303.96
  5. Step 5: Solve for x
    x = 9,239,678,303.96/127,280.91
  6. Step 6: Final answer
    x = 72,592.81

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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.