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Finding the Fourth Proportional to 201,746.70, 301,842.45 and 131,762.70

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Solution

The fourth proportional to 201,746.70, 301,842.45 and 131,762.70 is: 197,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,746.70 : 301,842.45 = 131,762.70 : x
  2. Step 2: Convert to fraction form
    201,746.70/301,842.45 = 131,762.70/x
  3. Step 3: Cross multiply
    201,746.70x = 301,842.45 × 131,762.70
  4. Step 4: Simplify right side
    201,746.70x = 39,771,576,186.62
  5. Step 5: Solve for x
    x = 39,771,576,186.62/201,746.70
  6. Step 6: Final answer
    x = 197,136.19

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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.