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Finding the Fourth Proportional to 114,656.84, 171,540.30 and 100,510.46

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Solution

The fourth proportional to 114,656.84, 171,540.30 and 100,510.46 is: 150,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,656.84 : 171,540.30 = 100,510.46 : x
  2. Step 2: Convert to fraction form
    114,656.84/171,540.30 = 100,510.46/x
  3. Step 3: Cross multiply
    114,656.84x = 171,540.30 × 100,510.46
  4. Step 4: Simplify right side
    114,656.84x = 17,241,594,461.54
  5. Step 5: Solve for x
    x = 17,241,594,461.54/114,656.84
  6. Step 6: Final answer
    x = 150,375.63

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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.