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Finding the Fourth Proportional to 127,108, 190,714.88 and 55,994.24

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Solution

The fourth proportional to 127,108, 190,714.88 and 55,994.24 is: 84,014.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,108 : 190,714.88 = 55,994.24 : x
  2. Step 2: Convert to fraction form
    127,108/190,714.88 = 55,994.24/x
  3. Step 3: Cross multiply
    127,108x = 190,714.88 × 55,994.24
  4. Step 4: Simplify right side
    127,108x = 10,678,934,762.29
  5. Step 5: Solve for x
    x = 10,678,934,762.29/127,108
  6. Step 6: Final answer
    x = 84,014.65

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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.