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Finding the Fourth Proportional to 103,630.65, 155,186.77 and 82,894.65

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Solution

The fourth proportional to 103,630.65, 155,186.77 and 82,894.65 is: 124,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,630.65 : 155,186.77 = 82,894.65 : x
  2. Step 2: Convert to fraction form
    103,630.65/155,186.77 = 82,894.65/x
  3. Step 3: Cross multiply
    103,630.65x = 155,186.77 × 82,894.65
  4. Step 4: Simplify right side
    103,630.65x = 12,864,152,983.78
  5. Step 5: Solve for x
    x = 12,864,152,983.78/103,630.65
  6. Step 6: Final answer
    x = 124,134.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.