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Finding the Fourth Proportional to 230,335.46, 317,754.28 and 134,783

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Solution

The fourth proportional to 230,335.46, 317,754.28 and 134,783 is: 185,936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,335.46 : 317,754.28 = 134,783 : x
  2. Step 2: Convert to fraction form
    230,335.46/317,754.28 = 134,783/x
  3. Step 3: Cross multiply
    230,335.46x = 317,754.28 × 134,783
  4. Step 4: Simplify right side
    230,335.46x = 42,827,875,121.24
  5. Step 5: Solve for x
    x = 42,827,875,121.24/230,335.46
  6. Step 6: Final answer
    x = 185,936.96

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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.