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Finding the Fourth Proportional to 152,234.20, 213,477.80 and 152,234.20

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Solution

The fourth proportional to 152,234.20, 213,477.80 and 152,234.20 is: 213,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,234.20 : 213,477.80 = 152,234.20 : x
  2. Step 2: Convert to fraction form
    152,234.20/213,477.80 = 152,234.20/x
  3. Step 3: Cross multiply
    152,234.20x = 213,477.80 × 152,234.20
  4. Step 4: Simplify right side
    152,234.20x = 32,498,622,100.76
  5. Step 5: Solve for x
    x = 32,498,622,100.76/152,234.20
  6. Step 6: Final answer
    x = 213,477.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.