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Finding the Fourth Proportional to 200,510.63, 276,704.51 and 109,872.23

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Solution

The fourth proportional to 200,510.63, 276,704.51 and 109,872.23 is: 151,623.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,510.63 : 276,704.51 = 109,872.23 : x
  2. Step 2: Convert to fraction form
    200,510.63/276,704.51 = 109,872.23/x
  3. Step 3: Cross multiply
    200,510.63x = 276,704.51 × 109,872.23
  4. Step 4: Simplify right side
    200,510.63x = 30,402,139,631.87
  5. Step 5: Solve for x
    x = 30,402,139,631.87/200,510.63
  6. Step 6: Final answer
    x = 151,623.58

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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.