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Finding the Fourth Proportional to 144,916.38, 199,982.07 and 81,253.98

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Solution

The fourth proportional to 144,916.38, 199,982.07 and 81,253.98 is: 112,129.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,916.38 : 199,982.07 = 81,253.98 : x
  2. Step 2: Convert to fraction form
    144,916.38/199,982.07 = 81,253.98/x
  3. Step 3: Cross multiply
    144,916.38x = 199,982.07 × 81,253.98
  4. Step 4: Simplify right side
    144,916.38x = 16,249,339,116.14
  5. Step 5: Solve for x
    x = 16,249,339,116.14/144,916.38
  6. Step 6: Final answer
    x = 112,129.07

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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.