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Finding the Fourth Proportional to 261,823.38, 361,313.79 and 145,533.80

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Solution

The fourth proportional to 261,823.38, 361,313.79 and 145,533.80 is: 200,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,823.38 : 361,313.79 = 145,533.80 : x
  2. Step 2: Convert to fraction form
    261,823.38/361,313.79 = 145,533.80/x
  3. Step 3: Cross multiply
    261,823.38x = 361,313.79 × 145,533.80
  4. Step 4: Simplify right side
    261,823.38x = 52,583,368,625.28
  5. Step 5: Solve for x
    x = 52,583,368,625.28/261,823.38
  6. Step 6: Final answer
    x = 200,835.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.