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Finding the Fourth Proportional to 291,702.60, 437,748.30 and 133,849.80

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Solution

The fourth proportional to 291,702.60, 437,748.30 and 133,849.80 is: 200,863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,702.60 : 437,748.30 = 133,849.80 : x
  2. Step 2: Convert to fraction form
    291,702.60/437,748.30 = 133,849.80/x
  3. Step 3: Cross multiply
    291,702.60x = 437,748.30 × 133,849.80
  4. Step 4: Simplify right side
    291,702.60x = 58,592,522,405.34
  5. Step 5: Solve for x
    x = 58,592,522,405.34/291,702.60
  6. Step 6: Final answer
    x = 200,863.90

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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.