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Finding the Fourth Proportional to 170,680.80, 256,021.20 and 114,547.80

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Solution

The fourth proportional to 170,680.80, 256,021.20 and 114,547.80 is: 171,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,680.80 : 256,021.20 = 114,547.80 : x
  2. Step 2: Convert to fraction form
    170,680.80/256,021.20 = 114,547.80/x
  3. Step 3: Cross multiply
    170,680.80x = 256,021.20 × 114,547.80
  4. Step 4: Simplify right side
    170,680.80x = 29,326,665,213.36
  5. Step 5: Solve for x
    x = 29,326,665,213.36/170,680.80
  6. Step 6: Final answer
    x = 171,821.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.