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Finding the Fourth Proportional to 154,141.35, 230,838.30 and 106,623.12

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Solution

The fourth proportional to 154,141.35, 230,838.30 and 106,623.12 is: 159,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,141.35 : 230,838.30 = 106,623.12 : x
  2. Step 2: Convert to fraction form
    154,141.35/230,838.30 = 106,623.12/x
  3. Step 3: Cross multiply
    154,141.35x = 230,838.30 × 106,623.12
  4. Step 4: Simplify right side
    154,141.35x = 24,612,699,761.50
  5. Step 5: Solve for x
    x = 24,612,699,761.50/154,141.35
  6. Step 6: Final answer
    x = 159,676.17

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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.