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Finding the Fourth Proportional to 230,064.92, 317,755.44 and 153,450.96

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Solution

The fourth proportional to 230,064.92, 317,755.44 and 153,450.96 is: 211,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,064.92 : 317,755.44 = 153,450.96 : x
  2. Step 2: Convert to fraction form
    230,064.92/317,755.44 = 153,450.96/x
  3. Step 3: Cross multiply
    230,064.92x = 317,755.44 × 153,450.96
  4. Step 4: Simplify right side
    230,064.92x = 48,759,877,313.22
  5. Step 5: Solve for x
    x = 48,759,877,313.22/230,064.92
  6. Step 6: Final answer
    x = 211,939.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.