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Finding the Fourth Proportional to 110,136, 165,203.46 and 31,250.37

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Solution

The fourth proportional to 110,136, 165,203.46 and 31,250.37 is: 46,875.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,136 : 165,203.46 = 31,250.37 : x
  2. Step 2: Convert to fraction form
    110,136/165,203.46 = 31,250.37/x
  3. Step 3: Cross multiply
    110,136x = 165,203.46 × 31,250.37
  4. Step 4: Simplify right side
    110,136x = 5,162,669,250.28
  5. Step 5: Solve for x
    x = 5,162,669,250.28/110,136
  6. Step 6: Final answer
    x = 46,875.40

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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.