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Finding the Fourth Proportional to 170,463.61, 255,654.41 and 52,135.98

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Solution

The fourth proportional to 170,463.61, 255,654.41 and 52,135.98 is: 78,191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,463.61 : 255,654.41 = 52,135.98 : x
  2. Step 2: Convert to fraction form
    170,463.61/255,654.41 = 52,135.98/x
  3. Step 3: Cross multiply
    170,463.61x = 255,654.41 × 52,135.98
  4. Step 4: Simplify right side
    170,463.61x = 13,328,791,667.72
  5. Step 5: Solve for x
    x = 13,328,791,667.72/170,463.61
  6. Step 6: Final answer
    x = 78,191.42

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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.