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Finding the Fourth Proportional to 230,063.40, 317,753.37 and 153,449.46

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Solution

The fourth proportional to 230,063.40, 317,753.37 and 153,449.46 is: 211,937.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,063.40 : 317,753.37 = 153,449.46 : x
  2. Step 2: Convert to fraction form
    230,063.40/317,753.37 = 153,449.46/x
  3. Step 3: Cross multiply
    230,063.40x = 317,753.37 × 153,449.46
  4. Step 4: Simplify right side
    230,063.40x = 48,759,083,039.68
  5. Step 5: Solve for x
    x = 48,759,083,039.68/230,063.40
  6. Step 6: Final answer
    x = 211,937.59

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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.