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Finding the Fourth Proportional to 238,369.92, 357,705.56 and 133,257.84

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Solution

The fourth proportional to 238,369.92, 357,705.56 and 133,257.84 is: 199,971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,369.92 : 357,705.56 = 133,257.84 : x
  2. Step 2: Convert to fraction form
    238,369.92/357,705.56 = 133,257.84/x
  3. Step 3: Cross multiply
    238,369.92x = 357,705.56 × 133,257.84
  4. Step 4: Simplify right side
    238,369.92x = 47,667,070,281.59
  5. Step 5: Solve for x
    x = 47,667,070,281.59/238,369.92
  6. Step 6: Final answer
    x = 199,971.00

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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.