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Finding the Fourth Proportional to 201,375.84, 302,077.10 and 59,233.83

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Solution

The fourth proportional to 201,375.84, 302,077.10 and 59,233.83 is: 88,854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,375.84 : 302,077.10 = 59,233.83 : x
  2. Step 2: Convert to fraction form
    201,375.84/302,077.10 = 59,233.83/x
  3. Step 3: Cross multiply
    201,375.84x = 302,077.10 × 59,233.83
  4. Step 4: Simplify right side
    201,375.84x = 17,893,183,588.29
  5. Step 5: Solve for x
    x = 17,893,183,588.29/201,375.84
  6. Step 6: Final answer
    x = 88,854.67

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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.