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Finding the Fourth Proportional to 201,042.68, 277,428.12 and 110,381

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Solution

The fourth proportional to 201,042.68, 277,428.12 and 110,381 is: 152,319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,042.68 : 277,428.12 = 110,381 : x
  2. Step 2: Convert to fraction form
    201,042.68/277,428.12 = 110,381/x
  3. Step 3: Cross multiply
    201,042.68x = 277,428.12 × 110,381
  4. Step 4: Simplify right side
    201,042.68x = 30,622,793,313.72
  5. Step 5: Solve for x
    x = 30,622,793,313.72/201,042.68
  6. Step 6: Final answer
    x = 152,319.86

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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.