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Finding the Fourth Proportional to 102,000.20, 153,000.30 and 82,317.20

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Solution

The fourth proportional to 102,000.20, 153,000.30 and 82,317.20 is: 123,475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,000.20 : 153,000.30 = 82,317.20 : x
  2. Step 2: Convert to fraction form
    102,000.20/153,000.30 = 82,317.20/x
  3. Step 3: Cross multiply
    102,000.20x = 153,000.30 × 82,317.20
  4. Step 4: Simplify right side
    102,000.20x = 12,594,556,295.16
  5. Step 5: Solve for x
    x = 12,594,556,295.16/102,000.20
  6. Step 6: Final answer
    x = 123,475.80

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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.