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Finding the Fourth Proportional to 173,082, 238,879.08 and 106,052.88

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Solution

The fourth proportional to 173,082, 238,879.08 and 106,052.88 is: 146,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,082 : 238,879.08 = 106,052.88 : x
  2. Step 2: Convert to fraction form
    173,082/238,879.08 = 106,052.88/x
  3. Step 3: Cross multiply
    173,082x = 238,879.08 × 106,052.88
  4. Step 4: Simplify right side
    173,082x = 25,333,814,405.75
  5. Step 5: Solve for x
    x = 25,333,814,405.75/173,082
  6. Step 6: Final answer
    x = 146,368.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.