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Finding the Fourth Proportional to 127,406.44, 175,897.62 and 84,422.20

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Solution

The fourth proportional to 127,406.44, 175,897.62 and 84,422.20 is: 116,553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,406.44 : 175,897.62 = 84,422.20 : x
  2. Step 2: Convert to fraction form
    127,406.44/175,897.62 = 84,422.20/x
  3. Step 3: Cross multiply
    127,406.44x = 175,897.62 × 84,422.20
  4. Step 4: Simplify right side
    127,406.44x = 14,849,664,055.16
  5. Step 5: Solve for x
    x = 14,849,664,055.16/127,406.44
  6. Step 6: Final answer
    x = 116,553.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.