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Finding the Fourth Proportional to 272,005.20, 407,813.40 and 122,122.80

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Solution

The fourth proportional to 272,005.20, 407,813.40 and 122,122.80 is: 183,096.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,005.20 : 407,813.40 = 122,122.80 : x
  2. Step 2: Convert to fraction form
    272,005.20/407,813.40 = 122,122.80/x
  3. Step 3: Cross multiply
    272,005.20x = 407,813.40 × 122,122.80
  4. Step 4: Simplify right side
    272,005.20x = 49,803,314,285.52
  5. Step 5: Solve for x
    x = 49,803,314,285.52/272,005.20
  6. Step 6: Final answer
    x = 183,096.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.