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Finding the Fourth Proportional to 173,759.82, 239,784.48 and 102,141.78

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Solution

The fourth proportional to 173,759.82, 239,784.48 and 102,141.78 is: 140,953.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,759.82 : 239,784.48 = 102,141.78 : x
  2. Step 2: Convert to fraction form
    173,759.82/239,784.48 = 102,141.78/x
  3. Step 3: Cross multiply
    173,759.82x = 239,784.48 × 102,141.78
  4. Step 4: Simplify right side
    173,759.82x = 24,492,013,603.57
  5. Step 5: Solve for x
    x = 24,492,013,603.57/173,759.82
  6. Step 6: Final answer
    x = 140,953.26

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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.