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Finding the Fourth Proportional to 535,136.42, 802,702.98 and 135,776.42

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Solution

The fourth proportional to 535,136.42, 802,702.98 and 135,776.42 is: 203,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,136.42 : 802,702.98 = 135,776.42 : x
  2. Step 2: Convert to fraction form
    535,136.42/802,702.98 = 135,776.42/x
  3. Step 3: Cross multiply
    535,136.42x = 802,702.98 × 135,776.42
  4. Step 4: Simplify right side
    535,136.42x = 108,988,136,947.73
  5. Step 5: Solve for x
    x = 108,988,136,947.73/535,136.42
  6. Step 6: Final answer
    x = 203,664.21

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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.