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Finding the Fourth Proportional to 82,214.80, 123,379.80 and 52,704.40

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Solution

The fourth proportional to 82,214.80, 123,379.80 and 52,704.40 is: 79,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,214.80 : 123,379.80 = 52,704.40 : x
  2. Step 2: Convert to fraction form
    82,214.80/123,379.80 = 52,704.40/x
  3. Step 3: Cross multiply
    82,214.80x = 123,379.80 × 52,704.40
  4. Step 4: Simplify right side
    82,214.80x = 6,502,658,331.12
  5. Step 5: Solve for x
    x = 6,502,658,331.12/82,214.80
  6. Step 6: Final answer
    x = 79,093.52

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1.5x scale

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.