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Finding the Fourth Proportional to 201,733.10, 302,599.65 and 134,081.90

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Solution

The fourth proportional to 201,733.10, 302,599.65 and 134,081.90 is: 201,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,733.10 : 302,599.65 = 134,081.90 : x
  2. Step 2: Convert to fraction form
    201,733.10/302,599.65 = 134,081.90/x
  3. Step 3: Cross multiply
    201,733.10x = 302,599.65 × 134,081.90
  4. Step 4: Simplify right side
    201,733.10x = 40,573,136,011.34
  5. Step 5: Solve for x
    x = 40,573,136,011.34/201,733.10
  6. Step 6: Final answer
    x = 201,122.85

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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.