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Finding the Fourth Proportional to 203,347.40, 305,166.90 and 114,506.60

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Solution

The fourth proportional to 203,347.40, 305,166.90 and 114,506.60 is: 171,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,347.40 : 305,166.90 = 114,506.60 : x
  2. Step 2: Convert to fraction form
    203,347.40/305,166.90 = 114,506.60/x
  3. Step 3: Cross multiply
    203,347.40x = 305,166.90 × 114,506.60
  4. Step 4: Simplify right side
    203,347.40x = 34,943,624,151.54
  5. Step 5: Solve for x
    x = 34,943,624,151.54/203,347.40
  6. Step 6: Final answer
    x = 171,842.00

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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.