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Finding the Fourth Proportional to 207,234.30, 310,333.05 and 165,762.30

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Solution

The fourth proportional to 207,234.30, 310,333.05 and 165,762.30 is: 248,228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,234.30 : 310,333.05 = 165,762.30 : x
  2. Step 2: Convert to fraction form
    207,234.30/310,333.05 = 165,762.30/x
  3. Step 3: Cross multiply
    207,234.30x = 310,333.05 × 165,762.30
  4. Step 4: Simplify right side
    207,234.30x = 51,441,520,134.02
  5. Step 5: Solve for x
    x = 51,441,520,134.02/207,234.30
  6. Step 6: Final answer
    x = 248,228.79

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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.