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Finding the Fourth Proportional to 92,051.04, 138,251.61 and 57,234

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Solution

The fourth proportional to 92,051.04, 138,251.61 and 57,234 is: 85,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,051.04 : 138,251.61 = 57,234 : x
  2. Step 2: Convert to fraction form
    92,051.04/138,251.61 = 57,234/x
  3. Step 3: Cross multiply
    92,051.04x = 138,251.61 × 57,234
  4. Step 4: Simplify right side
    92,051.04x = 7,912,692,646.74
  5. Step 5: Solve for x
    x = 7,912,692,646.74/92,051.04
  6. Step 6: Final answer
    x = 85,959.84

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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.