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Finding the Fourth Proportional to 158,967.84, 238,654.10 and 103,041.97

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Solution

The fourth proportional to 158,967.84, 238,654.10 and 103,041.97 is: 154,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,967.84 : 238,654.10 = 103,041.97 : x
  2. Step 2: Convert to fraction form
    158,967.84/238,654.10 = 103,041.97/x
  3. Step 3: Cross multiply
    158,967.84x = 238,654.10 × 103,041.97
  4. Step 4: Simplify right side
    158,967.84x = 24,591,388,612.58
  5. Step 5: Solve for x
    x = 24,591,388,612.58/158,967.84
  6. Step 6: Final answer
    x = 154,694.11

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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.