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Finding the Fourth Proportional to 230,322.92, 317,855.42 and 128,348.51

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Solution

The fourth proportional to 230,322.92, 317,855.42 and 128,348.51 is: 177,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,322.92 : 317,855.42 = 128,348.51 : x
  2. Step 2: Convert to fraction form
    230,322.92/317,855.42 = 128,348.51/x
  3. Step 3: Cross multiply
    230,322.92x = 317,855.42 × 128,348.51
  4. Step 4: Simplify right side
    230,322.92x = 40,796,267,321.40
  5. Step 5: Solve for x
    x = 40,796,267,321.40/230,322.92
  6. Step 6: Final answer
    x = 177,126.39

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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.