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Finding the Fourth Proportional to 100,420.40, 138,580.09 and 55,098.68

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Solution

The fourth proportional to 100,420.40, 138,580.09 and 55,098.68 is: 76,036.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,420.40 : 138,580.09 = 55,098.68 : x
  2. Step 2: Convert to fraction form
    100,420.40/138,580.09 = 55,098.68/x
  3. Step 3: Cross multiply
    100,420.40x = 138,580.09 × 55,098.68
  4. Step 4: Simplify right side
    100,420.40x = 7,635,579,202.63
  5. Step 5: Solve for x
    x = 7,635,579,202.63/100,420.40
  6. Step 6: Final answer
    x = 76,036.13

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