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Finding the Fourth Proportional to 102,186.41, 154,239.39 and 102,186.41

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Solution

The fourth proportional to 102,186.41, 154,239.39 and 102,186.41 is: 154,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,186.41 : 154,239.39 = 102,186.41 : x
  2. Step 2: Convert to fraction form
    102,186.41/154,239.39 = 102,186.41/x
  3. Step 3: Cross multiply
    102,186.41x = 154,239.39 × 102,186.41
  4. Step 4: Simplify right side
    102,186.41x = 15,761,168,773.49
  5. Step 5: Solve for x
    x = 15,761,168,773.49/102,186.41
  6. Step 6: Final answer
    x = 154,239.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.