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Finding the Fourth Proportional to 493,136.64, 739,706.88 and 119,159.04

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Solution

The fourth proportional to 493,136.64, 739,706.88 and 119,159.04 is: 178,739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,136.64 : 739,706.88 = 119,159.04 : x
  2. Step 2: Convert to fraction form
    493,136.64/739,706.88 = 119,159.04/x
  3. Step 3: Cross multiply
    493,136.64x = 739,706.88 × 119,159.04
  4. Step 4: Simplify right side
    493,136.64x = 88,142,761,702.20
  5. Step 5: Solve for x
    x = 88,142,761,702.20/493,136.64
  6. Step 6: Final answer
    x = 178,739.02

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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.