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Finding the Fourth Proportional to 171,112.48, 256,669.20 and 100,895.20

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Solution

The fourth proportional to 171,112.48, 256,669.20 and 100,895.20 is: 151,343.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,112.48 : 256,669.20 = 100,895.20 : x
  2. Step 2: Convert to fraction form
    171,112.48/256,669.20 = 100,895.20/x
  3. Step 3: Cross multiply
    171,112.48x = 256,669.20 × 100,895.20
  4. Step 4: Simplify right side
    171,112.48x = 25,896,690,267.84
  5. Step 5: Solve for x
    x = 25,896,690,267.84/171,112.48
  6. Step 6: Final answer
    x = 151,343.08

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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.