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Finding the Fourth Proportional to 102,960, 142,083.84 and 58,248

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Solution

The fourth proportional to 102,960, 142,083.84 and 58,248 is: 80,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,960 : 142,083.84 = 58,248 : x
  2. Step 2: Convert to fraction form
    102,960/142,083.84 = 58,248/x
  3. Step 3: Cross multiply
    102,960x = 142,083.84 × 58,248
  4. Step 4: Simplify right side
    102,960x = 8,276,099,512.32
  5. Step 5: Solve for x
    x = 8,276,099,512.32/102,960
  6. Step 6: Final answer
    x = 80,381.70

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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.