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Finding the Fourth Proportional to 150,596.13, 207,822.72 and 83,528.13

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Solution

The fourth proportional to 150,596.13, 207,822.72 and 83,528.13 is: 115,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,596.13 : 207,822.72 = 83,528.13 : x
  2. Step 2: Convert to fraction form
    150,596.13/207,822.72 = 83,528.13/x
  3. Step 3: Cross multiply
    150,596.13x = 207,822.72 × 83,528.13
  4. Step 4: Simplify right side
    150,596.13x = 17,359,043,173.11
  5. Step 5: Solve for x
    x = 17,359,043,173.11/150,596.13
  6. Step 6: Final answer
    x = 115,268.85

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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.