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Finding the Fourth Proportional to 177,677.98, 266,477.83 and 51,290.77

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Solution

The fourth proportional to 177,677.98, 266,477.83 and 51,290.77 is: 76,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,677.98 : 266,477.83 = 51,290.77 : x
  2. Step 2: Convert to fraction form
    177,677.98/266,477.83 = 51,290.77/x
  3. Step 3: Cross multiply
    177,677.98x = 266,477.83 × 51,290.77
  4. Step 4: Simplify right side
    177,677.98x = 13,667,853,088.63
  5. Step 5: Solve for x
    x = 13,667,853,088.63/177,677.98
  6. Step 6: Final answer
    x = 76,924.86

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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.