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Finding the Fourth Proportional to 115,808.42, 159,802.16 and 64,824

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Solution

The fourth proportional to 115,808.42, 159,802.16 and 64,824 is: 89,449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,808.42 : 159,802.16 = 64,824 : x
  2. Step 2: Convert to fraction form
    115,808.42/159,802.16 = 64,824/x
  3. Step 3: Cross multiply
    115,808.42x = 159,802.16 × 64,824
  4. Step 4: Simplify right side
    115,808.42x = 10,359,015,219.84
  5. Step 5: Solve for x
    x = 10,359,015,219.84/115,808.42
  6. Step 6: Final answer
    x = 89,449.59

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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.