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Finding the Fourth Proportional to 200,419.44, 276,510.17 and 114,316.55

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Solution

The fourth proportional to 200,419.44, 276,510.17 and 114,316.55 is: 157,717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,419.44 : 276,510.17 = 114,316.55 : x
  2. Step 2: Convert to fraction form
    200,419.44/276,510.17 = 114,316.55/x
  3. Step 3: Cross multiply
    200,419.44x = 276,510.17 × 114,316.55
  4. Step 4: Simplify right side
    200,419.44x = 31,609,689,651.38
  5. Step 5: Solve for x
    x = 31,609,689,651.38/200,419.44
  6. Step 6: Final answer
    x = 157,717.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.