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Finding the Fourth Proportional to 196,661.80, 294,994.32 and 56,424.88

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Solution

The fourth proportional to 196,661.80, 294,994.32 and 56,424.88 is: 84,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,661.80 : 294,994.32 = 56,424.88 : x
  2. Step 2: Convert to fraction form
    196,661.80/294,994.32 = 56,424.88/x
  3. Step 3: Cross multiply
    196,661.80x = 294,994.32 × 56,424.88
  4. Step 4: Simplify right side
    196,661.80x = 16,645,019,106.68
  5. Step 5: Solve for x
    x = 16,645,019,106.68/196,661.80
  6. Step 6: Final answer
    x = 84,637.78

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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.