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Finding the Fourth Proportional to 208,234.56, 312,024.78 and 160,965.48

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Solution

The fourth proportional to 208,234.56, 312,024.78 and 160,965.48 is: 241,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,234.56 : 312,024.78 = 160,965.48 : x
  2. Step 2: Convert to fraction form
    208,234.56/312,024.78 = 160,965.48/x
  3. Step 3: Cross multiply
    208,234.56x = 312,024.78 × 160,965.48
  4. Step 4: Simplify right side
    208,234.56x = 50,225,218,484.59
  5. Step 5: Solve for x
    x = 50,225,218,484.59/208,234.56
  6. Step 6: Final answer
    x = 241,195.40

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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.