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Finding the Fourth Proportional to 261,893.34, 393,035.66 and 177,453.27

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Solution

The fourth proportional to 261,893.34, 393,035.66 and 177,453.27 is: 266,312.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,893.34 : 393,035.66 = 177,453.27 : x
  2. Step 2: Convert to fraction form
    261,893.34/393,035.66 = 177,453.27/x
  3. Step 3: Cross multiply
    261,893.34x = 393,035.66 × 177,453.27
  4. Step 4: Simplify right side
    261,893.34x = 69,745,462,206.34
  5. Step 5: Solve for x
    x = 69,745,462,206.34/261,893.34
  6. Step 6: Final answer
    x = 266,312.47

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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.