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Finding the Fourth Proportional to 171,057.51, 256,596.81 and 65,876.58

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Solution

The fourth proportional to 171,057.51, 256,596.81 and 65,876.58 is: 98,818.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,057.51 : 256,596.81 = 65,876.58 : x
  2. Step 2: Convert to fraction form
    171,057.51/256,596.81 = 65,876.58/x
  3. Step 3: Cross multiply
    171,057.51x = 256,596.81 × 65,876.58
  4. Step 4: Simplify right side
    171,057.51x = 16,903,720,281.71
  5. Step 5: Solve for x
    x = 16,903,720,281.71/171,057.51
  6. Step 6: Final answer
    x = 98,818.93

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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.