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Finding the Fourth Proportional to 238,590.30, 357,866.82 and 105,474.90

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Solution

The fourth proportional to 238,590.30, 357,866.82 and 105,474.90 is: 158,204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,590.30 : 357,866.82 = 105,474.90 : x
  2. Step 2: Convert to fraction form
    238,590.30/357,866.82 = 105,474.90/x
  3. Step 3: Cross multiply
    238,590.30x = 357,866.82 × 105,474.90
  4. Step 4: Simplify right side
    238,590.30x = 37,745,967,052.82
  5. Step 5: Solve for x
    x = 37,745,967,052.82/238,590.30
  6. Step 6: Final answer
    x = 158,204.11

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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.