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Finding the Fourth Proportional to 100,420.13, 138,581.14 and 55,097.29

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Solution

The fourth proportional to 100,420.13, 138,581.14 and 55,097.29 is: 76,035.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,420.13 : 138,581.14 = 55,097.29 : x
  2. Step 2: Convert to fraction form
    100,420.13/138,581.14 = 55,097.29/x
  3. Step 3: Cross multiply
    100,420.13x = 138,581.14 × 55,097.29
  4. Step 4: Simplify right side
    100,420.13x = 7,635,445,259.11
  5. Step 5: Solve for x
    x = 7,635,445,259.11/100,420.13
  6. Step 6: Final answer
    x = 76,035.01

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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.