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Finding the Fourth Proportional to 230,391.10, 317,929.25 and 128,427.69

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Solution

The fourth proportional to 230,391.10, 317,929.25 and 128,427.69 is: 177,224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,391.10 : 317,929.25 = 128,427.69 : x
  2. Step 2: Convert to fraction form
    230,391.10/317,929.25 = 128,427.69/x
  3. Step 3: Cross multiply
    230,391.10x = 317,929.25 × 128,427.69
  4. Step 4: Simplify right side
    230,391.10x = 40,830,920,674.24
  5. Step 5: Solve for x
    x = 40,830,920,674.24/230,391.10
  6. Step 6: Final answer
    x = 177,224.38

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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.