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Finding the Fourth Proportional to 102,651.77, 154,074.51 and 52,766.89

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Solution

The fourth proportional to 102,651.77, 154,074.51 and 52,766.89 is: 79,200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,651.77 : 154,074.51 = 52,766.89 : x
  2. Step 2: Convert to fraction form
    102,651.77/154,074.51 = 52,766.89/x
  3. Step 3: Cross multiply
    102,651.77x = 154,074.51 × 52,766.89
  4. Step 4: Simplify right side
    102,651.77x = 8,130,032,335.79
  5. Step 5: Solve for x
    x = 8,130,032,335.79/102,651.77
  6. Step 6: Final answer
    x = 79,200.12

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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.