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Finding the Fourth Proportional to 138,132.06, 190,619.06 and 84,416.90

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Solution

The fourth proportional to 138,132.06, 190,619.06 and 84,416.90 is: 116,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,132.06 : 190,619.06 = 84,416.90 : x
  2. Step 2: Convert to fraction form
    138,132.06/190,619.06 = 84,416.90/x
  3. Step 3: Cross multiply
    138,132.06x = 190,619.06 × 84,416.90
  4. Step 4: Simplify right side
    138,132.06x = 16,091,470,126.11
  5. Step 5: Solve for x
    x = 16,091,470,126.11/138,132.06
  6. Step 6: Final answer
    x = 116,493.38

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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.