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Finding the Fourth Proportional to 109,064.30, 150,583.29 and 83,525.54

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Solution

The fourth proportional to 109,064.30, 150,583.29 and 83,525.54 is: 115,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,064.30 : 150,583.29 = 83,525.54 : x
  2. Step 2: Convert to fraction form
    109,064.30/150,583.29 = 83,525.54/x
  3. Step 3: Cross multiply
    109,064.30x = 150,583.29 × 83,525.54
  4. Step 4: Simplify right side
    109,064.30x = 12,577,550,612.23
  5. Step 5: Solve for x
    x = 12,577,550,612.23/109,064.30
  6. Step 6: Final answer
    x = 115,322.34

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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.