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Finding the Fourth Proportional to 185,136.53, 277,494.84 and 85,090.01

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Solution

The fourth proportional to 185,136.53, 277,494.84 and 85,090.01 is: 127,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,136.53 : 277,494.84 = 85,090.01 : x
  2. Step 2: Convert to fraction form
    185,136.53/277,494.84 = 85,090.01/x
  3. Step 3: Cross multiply
    185,136.53x = 277,494.84 × 85,090.01
  4. Step 4: Simplify right side
    185,136.53x = 23,612,037,323.07
  5. Step 5: Solve for x
    x = 23,612,037,323.07/185,136.53
  6. Step 6: Final answer
    x = 127,538.51

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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.