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Finding the Fourth Proportional to 176,548.80, 264,823.20 and 50,188.80

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Solution

The fourth proportional to 176,548.80, 264,823.20 and 50,188.80 is: 75,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,548.80 : 264,823.20 = 50,188.80 : x
  2. Step 2: Convert to fraction form
    176,548.80/264,823.20 = 50,188.80/x
  3. Step 3: Cross multiply
    176,548.80x = 264,823.20 × 50,188.80
  4. Step 4: Simplify right side
    176,548.80x = 13,291,158,620.16
  5. Step 5: Solve for x
    x = 13,291,158,620.16/176,548.80
  6. Step 6: Final answer
    x = 75,283.20

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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.