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Finding the Fourth Proportional to 170,895.63, 256,343.46 and 111,781.02

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Solution

The fourth proportional to 170,895.63, 256,343.46 and 111,781.02 is: 167,671.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,895.63 : 256,343.46 = 111,781.02 : x
  2. Step 2: Convert to fraction form
    170,895.63/256,343.46 = 111,781.02/x
  3. Step 3: Cross multiply
    170,895.63x = 256,343.46 × 111,781.02
  4. Step 4: Simplify right side
    170,895.63x = 28,654,333,429.13
  5. Step 5: Solve for x
    x = 28,654,333,429.13/170,895.63
  6. Step 6: Final answer
    x = 167,671.54

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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.