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Finding the Fourth Proportional to 146,000.40, 219,000.60 and 40,819.20

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Solution

The fourth proportional to 146,000.40, 219,000.60 and 40,819.20 is: 61,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,000.40 : 219,000.60 = 40,819.20 : x
  2. Step 2: Convert to fraction form
    146,000.40/219,000.60 = 40,819.20/x
  3. Step 3: Cross multiply
    146,000.40x = 219,000.60 × 40,819.20
  4. Step 4: Simplify right side
    146,000.40x = 8,939,429,291.52
  5. Step 5: Solve for x
    x = 8,939,429,291.52/146,000.40
  6. Step 6: Final answer
    x = 61,228.80

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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.