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Finding the Fourth Proportional to 187,827, 281,740.50 and 63,168

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Solution

The fourth proportional to 187,827, 281,740.50 and 63,168 is: 94,752

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,827 : 281,740.50 = 63,168 : x
  2. Step 2: Convert to fraction form
    187,827/281,740.50 = 63,168/x
  3. Step 3: Cross multiply
    187,827x = 281,740.50 × 63,168
  4. Step 4: Simplify right side
    187,827x = 17,796,983,904
  5. Step 5: Solve for x
    x = 17,796,983,904/187,827
  6. Step 6: Final answer
    x = 94,752

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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.