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Finding the Fourth Proportional to 182,823.40, 274,235.10 and 84,519.40

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Solution

The fourth proportional to 182,823.40, 274,235.10 and 84,519.40 is: 126,779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,823.40 : 274,235.10 = 84,519.40 : x
  2. Step 2: Convert to fraction form
    182,823.40/274,235.10 = 84,519.40/x
  3. Step 3: Cross multiply
    182,823.40x = 274,235.10 × 84,519.40
  4. Step 4: Simplify right side
    182,823.40x = 23,178,186,110.94
  5. Step 5: Solve for x
    x = 23,178,186,110.94/182,823.40
  6. Step 6: Final answer
    x = 126,779.10

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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.