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Finding the Fourth Proportional to 113,802.26, 157,023.68 and 65,394.84

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Solution

The fourth proportional to 113,802.26, 157,023.68 and 65,394.84 is: 90,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,802.26 : 157,023.68 = 65,394.84 : x
  2. Step 2: Convert to fraction form
    113,802.26/157,023.68 = 65,394.84/x
  3. Step 3: Cross multiply
    113,802.26x = 157,023.68 × 65,394.84
  4. Step 4: Simplify right side
    113,802.26x = 10,268,538,429.81
  5. Step 5: Solve for x
    x = 10,268,538,429.81/113,802.26
  6. Step 6: Final answer
    x = 90,231.41

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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.