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Finding the Fourth Proportional to 201,442.20, 301,904.10 and 122,472.60

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Solution

The fourth proportional to 201,442.20, 301,904.10 and 122,472.60 is: 183,551.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,442.20 : 301,904.10 = 122,472.60 : x
  2. Step 2: Convert to fraction form
    201,442.20/301,904.10 = 122,472.60/x
  3. Step 3: Cross multiply
    201,442.20x = 301,904.10 × 122,472.60
  4. Step 4: Simplify right side
    201,442.20x = 36,974,980,077.66
  5. Step 5: Solve for x
    x = 36,974,980,077.66/201,442.20
  6. Step 6: Final answer
    x = 183,551.31

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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.