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Finding the Fourth Proportional to 201,376.84, 302,078.60 and 59,234.83

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Solution

The fourth proportional to 201,376.84, 302,078.60 and 59,234.83 is: 88,856.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,376.84 : 302,078.60 = 59,234.83 : x
  2. Step 2: Convert to fraction form
    201,376.84/302,078.60 = 59,234.83/x
  3. Step 3: Cross multiply
    201,376.84x = 302,078.60 × 59,234.83
  4. Step 4: Simplify right side
    201,376.84x = 17,893,574,517.64
  5. Step 5: Solve for x
    x = 17,893,574,517.64/201,376.84
  6. Step 6: Final answer
    x = 88,856.17

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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.